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13137052537 = 72616765599
BaseRepresentation
bin11000011110000011…
…11000001101111001
31020220112200102012101
430033001320031321
5203401041140122
610011324343401
7643356050500
oct141701701571
936815612171
1013137052537
115631584014
1226676a4b61
1313148b958b
148c8a43837
1551d4c5027
hex30f078379

13137052537 has 24 divisors (see below), whose sum is σ = 15764467200. Its totient is φ = 10910259360.

The previous prime is 13137052529. The next prime is 13137052541. The reversal of 13137052537 is 73525073131.

13137052537 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13137052537 - 23 = 13137052529 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 13137052496 and 13137052505.

It is not an unprimeable number, because it can be changed into a prime (13137052517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167464 + ... + 233062.

It is an arithmetic number, because the mean of its divisors is an integer number (656852800).

Almost surely, 213137052537 is an apocalyptic number.

It is an amenable number.

13137052537 is a deficient number, since it is larger than the sum of its proper divisors (2627414663).

13137052537 is an equidigital number, since it uses as much as digits as its factorization.

13137052537 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65741 (or 65734 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 37.

The spelling of 13137052537 in words is "thirteen billion, one hundred thirty-seven million, fifty-two thousand, five hundred thirty-seven".

Divisors: 1 7 49 61 67 427 469 2989 3283 4087 28609 65599 200263 459193 3214351 4001539 4395133 28010773 30765931 196075411 215361517 268103113 1876721791 13137052537