251295870 has 128 divisors (see below), whose sum is σ = 747242496. Its totient is φ = 52770816.

The previous prime is 251295851. The next prime is 251295893. The reversal of 251295870 is 78592152.

It is a super-2 number, since 2×251295870² = 126299228558113800, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 152692 + ... + 154328.

It is an arithmetic number, because the mean of its divisors is an integer number (5837832).

Almost surely, 2^251295870 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251295870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373621248).

251295870 is an abundant number, since it is smaller than the sum of its proper divisors (495946626).

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

251295870 is a wasteful number, since it uses less digits than its factorization.

251295870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1714.

The product of its (nonzero) digits is 50400, while the sum is 39.

The square root of 251295870 is about 15852.3143420764. The cubic root of 251295870 is about 631.0471122638.

The spelling of 251295870 in words is "two hundred fifty-one million, two hundred ninety-five thousand, eight hundred seventy".