957251250 has 160 divisors (see below), whose sum is σ = 2692388160. Its totient is φ = 252000000.

The previous prime is 957251233. The next prime is 957251257. The reversal of 957251250 is 52152759.

957251250 is a `hidden beast` number, since 95 + 7 + 2 + 512 + 50 = 666.

It is not an unprimeable number, because it can be changed into a prime (957251257) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 3813625 + ... + 3813875.

It is an arithmetic number, because the mean of its divisors is an integer number (16827426).

Almost surely, 2^957251250 is an apocalyptic number.

957251250 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 957251250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1346194080).

957251250 is an abundant number, since it is smaller than the sum of its proper divisors (1735136910).

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

957251250 is a wasteful number, since it uses less digits than its factorization.

957251250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 957251250 is about 30939.4772095457. The cubic root of 957251250 is about 985.5424018415.

The spelling of 957251250 in words is "nine hundred fifty-seven million, two hundred fifty-one thousand, two hundred fifty".