251696076401 has 32 divisors (see below), whose sum is σ = 342980075520. Its totient is φ = 178635398400.

The previous prime is 251696076391. The next prime is 251696076403. The reversal of 251696076401 is 104670696152.

It is a cyclic number.

It is not a de Polignac number, because 251696076401 - 2⁶ = 251696076337 is a prime.

It is a super-2 number, since 2×251696076401² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (47) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (251696076403) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3060731 + ... + 3141888.

It is an arithmetic number, because the mean of its divisors is an integer number (10718127360).

Almost surely, 2^251696076401 is an apocalyptic number.

It is an amenable number.

251696076401 is a deficient number, since it is larger than the sum of its proper divisors (91283999119).

251696076401 is a wasteful number, since it uses less digits than its factorization.

251696076401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6202685.

The product of its (nonzero) digits is 544320, while the sum is 47.

The spelling of 251696076401 in words is "two hundred fifty-one billion, six hundred ninety-six million, seventy-six thousand, four hundred one".