251550120 has 128 divisors (see below), whose sum is σ = 820224000. Its totient is φ = 61482240.

The previous prime is 251550113. The next prime is 251550163. The reversal of 251550120 is 21055152.

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 31 ways as a sum of consecutive naturals, for example, 68901 + ... + 72459.

It is an arithmetic number, because the mean of its divisors is an integer number (6408000).

Almost surely, 2^251550120 is an apocalyptic number.

251550120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251550120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (410112000).

251550120 is an abundant number, since it is smaller than the sum of its proper divisors (568673880).

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

251550120 is a wasteful number, since it uses less digits than its factorization.

251550120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3623 (or 3619 counting only the distinct ones).

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

The square root of 251550120 is about 15860.3316484871. The cubic root of 251550120 is about 631.2598623431.

The spelling of 251550120 in words is "two hundred fifty-one million, five hundred fifty thousand, one hundred twenty".