251055120 has 80 divisors (see below), whose sum is σ = 812126592. Its totient is φ = 64035840.

The previous prime is 251055107. The next prime is 251055137. The reversal of 251055120 is 21550152.

251055120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17221 + ... + 28260.

Almost surely, 2^251055120 is an apocalyptic number.

251055120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

251055120 is an abundant number, since it is smaller than the sum of its proper divisors (561071472).

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

251055120 is a wasteful number, since it uses less digits than its factorization.

251055120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45520 (or 45514 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 21.

The square root of 251055120 is about 15844.7189940371. The cubic root of 251055120 is about 630.8455263346.

It can be divided in two parts, 2510 and 55120, that added together give a triangular number (57630 = T₃₃₉).

The spelling of 251055120 in words is "two hundred fifty-one million, fifty-five thousand, one hundred twenty".