251383020 has 96 divisors (see below), whose sum is σ = 832204800. Its totient is φ = 55474944.

The previous prime is 251383009. The next prime is 251383037. The reversal of 251383020 is 20383152.

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 31 ways as a sum of consecutive naturals, for example, 1861 + ... + 22499.

It is an arithmetic number, because the mean of its divisors is an integer number (8668800).

Almost surely, 2^251383020 is an apocalyptic number.

251383020 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 251383020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416102400).

251383020 is an abundant number, since it is smaller than the sum of its proper divisors (580821780).

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

251383020 is a wasteful number, since it uses less digits than its factorization.

251383020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20687 (or 20685 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 251383020 is about 15855.0629137825. The cubic root of 251383020 is about 631.1200533744.

The spelling of 251383020 in words is "two hundred fifty-one million, three hundred eighty-three thousand, twenty".