10257964609 has 2 divisors, whose sum is σ = 10257964610. Its totient is φ = 10257964608.

The previous prime is 10257964601. The next prime is 10257964657. The reversal of 10257964609 is 90646975201.

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., 10187874225 + 70090384 = 100935^2 + 8372^2 .

It is a cyclic number.

It is not a de Polignac number, because 10257964609 - 2³ = 10257964601 is a prime.

It is not a weakly prime, because it can be changed into another prime (10257964601) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5128982304 + 5128982305.

It is an arithmetic number, because the mean of its divisors is an integer number (5128982305).

Almost surely, 2^10257964609 is an apocalyptic number.

It is an amenable number.

10257964609 is a deficient number, since it is larger than the sum of its proper divisors (1).

10257964609 is an equidigital number, since it uses as much as digits as its factorization.

10257964609 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 816480, while the sum is 49.

The spelling of 10257964609 in words is "ten billion, two hundred fifty-seven million, nine hundred sixty-four thousand, six hundred nine".