251534696449601 has 2 divisors, whose sum is σ = 251534696449602. Its totient is φ = 251534696449600.

The previous prime is 251534696449573. The next prime is 251534696449651. The reversal of 251534696449601 is 106944696435152.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 235042780521025 + 16491915928576 = 15331105^2 + 4061024^2 .

It is a cyclic number.

It is not a de Polignac number, because 251534696449601 - 2⁶ = 251534696449537 is a prime.

It is not a weakly prime, because it can be changed into another prime (251534696449651) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 125767348224800 + 125767348224801.

It is an arithmetic number, because the mean of its divisors is an integer number (125767348224801).

Almost surely, 2^{251534696449601} is an apocalyptic number.

It is an amenable number.

251534696449601 is a deficient number, since it is larger than the sum of its proper divisors (1).

251534696449601 is an equidigital number, since it uses as much as digits as its factorization.

251534696449601 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 167961600, while the sum is 65.

The spelling of 251534696449601 in words is "two hundred fifty-one trillion, five hundred thirty-four billion, six hundred ninety-six million, four hundred forty-nine thousand, six hundred one".