251313152 has 44 divisors (see below), whose sum is σ = 528862920. Its totient is φ = 119033856.

The previous prime is 251313143. The next prime is 251313239.

It is a happy number.

251313152 is nontrivially palindromic in base 10.

251313152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12998 + ... + 25914.

Almost surely, 2^251313152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251313152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264431460).

251313152 is an abundant number, since it is smaller than the sum of its proper divisors (277549768).

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

251313152 is a wasteful number, since it uses less digits than its factorization.

251313152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12956 (or 12938 counting only the distinct ones).

The product of its digits is 900, while the sum is 23.

The square root of 251313152 is about 15852.8594266145. The cubic root of 251313152 is about 631.0615779562.

The spelling of 251313152 in words is "two hundred fifty-one million, three hundred thirteen thousand, one hundred fifty-two".