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252682934401 is a prime number
BaseRepresentation
bin1110101101010100010…
…0111001100010000001
3220011012220112001020001
43223111010321202001
513114443312400101
6312025252120001
724153501334642
oct3532504714201
9804186461201
10252682934401
1198186a24607
1240b7b006001
131aa9bb7ba41
14c330c816c9
15688d62c901
hex3ad5139881

252682934401 has 2 divisors, whose sum is σ = 252682934402. Its totient is φ = 252682934400.

The previous prime is 252682934347. The next prime is 252682934411. The reversal of 252682934401 is 104439286252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138979094401 + 113703840000 = 372799^2 + 337200^2 .

It is a cyclic number.

It is not a de Polignac number, because 252682934401 - 223 = 252674545793 is a prime.

It is not a weakly prime, because it can be changed into another prime (252682934411) 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 as a sum of consecutive naturals, namely, 126341467200 + 126341467201.

It is an arithmetic number, because the mean of its divisors is an integer number (126341467201).

Almost surely, 2252682934401 is an apocalyptic number.

It is an amenable number.

252682934401 is a deficient number, since it is larger than the sum of its proper divisors (1).

252682934401 is an equidigital number, since it uses as much as digits as its factorization.

252682934401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 829440, while the sum is 46.

The spelling of 252682934401 in words is "two hundred fifty-two billion, six hundred eighty-two million, nine hundred thirty-four thousand, four hundred one".