251052960 has 96 divisors (see below), whose sum is σ = 793074240. Its totient is φ = 66756608.

The previous prime is 251052959. The next prime is 251052983. The reversal of 251052960 is 69250152.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269776 + ... + 270704.

It is an arithmetic number, because the mean of its divisors is an integer number (8261190).

Almost surely, 2^251052960 is an apocalyptic number.

251052960 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 251052960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396537120).

251052960 is an abundant number, since it is smaller than the sum of its proper divisors (542021280).

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

251052960 is a wasteful number, since it uses less digits than its factorization.

251052960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1502 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 251052960 is about 15844.6508323787. The cubic root of 251052960 is about 630.8437171300.

The spelling of 251052960 in words is "two hundred fifty-one million, fifty-two thousand, nine hundred sixty".