259518980961 has 72 divisors (see below), whose sum is σ = 394575337728. Its totient is φ = 164180520000.

The previous prime is 259518980951. The next prime is 259518981019. The reversal of 259518980961 is 169089815952.

259518980961 is a `hidden beast` number, since 2 + 59 + 518 + 9 + 8 + 0 + 9 + 61 = 666.

It is a de Polignac number, because none of the positive numbers 2^k-259518980961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (259518980921) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 454498806 + ... + 454499376.

It is an arithmetic number, because the mean of its divisors is an integer number (5480213024).

Almost surely, 2^259518980961 is an apocalyptic number.

It is an amenable number.

259518980961 is a deficient number, since it is larger than the sum of its proper divisors (135056356767).

259518980961 is a wasteful number, since it uses less digits than its factorization.

259518980961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 963 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 63.

The spelling of 259518980961 in words is "two hundred fifty-nine billion, five hundred eighteen million, nine hundred eighty thousand, nine hundred sixty-one".