251461141605 has 32 divisors (see below), whose sum is σ = 447122632320. Its totient is φ = 134088428160.

The previous prime is 251461141601. The next prime is 251461141609. The reversal of 251461141605 is 506141164152.

251461141605 is a `hidden beast` number, since 2 + 5 + 1 + 4 + 6 + 1 + 1 + 41 + 605 = 666.

It is an interprime number because it is at equal distance from previous prime (251461141601) and next prime (251461141609).

It is not a de Polignac number, because 251461141605 - 2² = 251461141601 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 251461141605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251461141601) 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, 596434 + ... + 926636.

It is an arithmetic number, because the mean of its divisors is an integer number (13972582260).

Almost surely, 2^251461141605 is an apocalyptic number.

It is an amenable number.

251461141605 is a deficient number, since it is larger than the sum of its proper divisors (195661490715).

251461141605 is a wasteful number, since it uses less digits than its factorization.

251461141605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335858 (or 335852 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 251461141605 in words is "two hundred fifty-one billion, four hundred sixty-one million, one hundred forty-one thousand, six hundred five".