251332560 has 120 divisors (see below), whose sum is σ = 873236520. Its totient is φ = 64705536.

The previous prime is 251332559. The next prime is 251332577. The reversal of 251332560 is 65233152.

It can be written as a sum of positive squares in 4 ways, for example, as 46656 + 251285904 = 216^2 + 15852^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14862 + ... + 26898.

It is an arithmetic number, because the mean of its divisors is an integer number (7276971).

Almost surely, 2^251332560 is an apocalyptic number.

251332560 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 251332560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436618260).

251332560 is an abundant number, since it is smaller than the sum of its proper divisors (621903960).

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

251332560 is a wasteful number, since it uses less digits than its factorization.

251332560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12085 (or 12076 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 251332560 is about 15853.4715441130. The cubic root of 251332560 is about 631.0778224009.

The spelling of 251332560 in words is "two hundred fifty-one million, three hundred thirty-two thousand, five hundred sixty".