251088628 has 24 divisors (see below), whose sum is σ = 502516224. Its totient is φ = 107536800.

The previous prime is 251088611. The next prime is 251088701. The reversal of 251088628 is 826880152.

It is a happy number.

It is a super-2 number, since 2×251088628² = 126090998221844768, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 70818 + ... + 74278.

It is an arithmetic number, because the mean of its divisors is an integer number (20938176).

Almost surely, 2^251088628 is an apocalyptic number.

251088628 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

251088628 is an abundant number, since it is smaller than the sum of its proper divisors (251427596).

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

251088628 is a wasteful number, since it uses less digits than its factorization.

251088628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6063 (or 6061 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 251088628 is about 15845.7763457648. The cubic root of 251088628 is about 630.8735911297.

The spelling of 251088628 in words is "two hundred fifty-one million, eighty-eight thousand, six hundred twenty-eight".