251552664 has 48 divisors (see below), whose sum is σ = 743226120. Its totient is φ = 76227840.

The previous prime is 251552657. The next prime is 251552711. The reversal of 251552664 is 466255152.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 158017 + ... + 159600.

Almost surely, 2^251552664 is an apocalyptic number.

251552664 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

251552664 is an abundant number, since it is smaller than the sum of its proper divisors (491673456).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

251552664 is a wasteful number, since it uses less digits than its factorization.

251552664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317640 (or 317633 counting only the distinct ones).

The product of its digits is 72000, while the sum is 36.

The square root of 251552664 is about 15860.4118483727. The cubic root of 251552664 is about 631.2619903745.

The spelling of 251552664 in words is "two hundred fifty-one million, five hundred fifty-two thousand, six hundred sixty-four".