251253660 has 96 divisors (see below), whose sum is σ = 812109312. Its totient is φ = 56851200.

The previous prime is 251253649. The next prime is 251253707. The reversal of 251253660 is 66352152.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 39459 + ... + 45381.

It is an arithmetic number, because the mean of its divisors is an integer number (8459472).

Almost surely, 2^251253660 is an apocalyptic number.

251253660 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 251253660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406054656).

251253660 is an abundant number, since it is smaller than the sum of its proper divisors (560855652).

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

251253660 is a wasteful number, since it uses less digits than its factorization.

251253660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6043 (or 6041 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The square root of 251253660 is about 15850.9829348214. The cubic root of 251253660 is about 631.0117780976.

The spelling of 251253660 in words is "two hundred fifty-one million, two hundred fifty-three thousand, six hundred sixty".