12537145761 has 16 divisors (see below), whose sum is σ = 19105968000. Its totient is φ = 7163428608.

The previous prime is 12537145723. The next prime is 12537145769. The reversal of 12537145761 is 16754173521.

12537145761 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 12537145761 - 2¹⁵ = 12537112993 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (12537145769) 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 15 ways as a sum of consecutive naturals, for example, 298425 + ... + 337833.

It is an arithmetic number, because the mean of its divisors is an integer number (1194123000).

Almost surely, 2^12537145761 is an apocalyptic number.

It is an amenable number.

12537145761 is a deficient number, since it is larger than the sum of its proper divisors (6568822239).

12537145761 is a wasteful number, since it uses less digits than its factorization.

12537145761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54568.

The product of its digits is 176400, while the sum is 42.

The spelling of 12537145761 in words is "twelve billion, five hundred thirty-seven million, one hundred forty-five thousand, seven hundred sixty-one".