251415252 has 150 divisors (see below), whose sum is σ = 736610490. Its totient is φ = 74748960.

The previous prime is 251415251. The next prime is 251415257. The reversal of 251415252 is 252514152.

It can be written as a sum of positive squares in only one way, i.e., 232440516 + 18974736 = 15246^2 + 4356^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251415251) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 4743658 + ... + 4743710.

Almost surely, 2^251415252 is an apocalyptic number.

251415252 is a gapful number since it is divisible by the number (22) 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 251415252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (368305245).

251415252 is an abundant number, since it is smaller than the sum of its proper divisors (485195238).

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

251415252 is an equidigital number, since it uses as much as digits as its factorization.

251415252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 69 counting only the distinct ones).

The product of its digits is 4000, while the sum is 27.

The square root of 251415252 is about 15856.0793388530. The cubic root of 251415252 is about 631.1470260159.

It can be divided in two parts, 2514 and 15252, that added together give a triangular number (17766 = T₁₈₈).

The spelling of 251415252 in words is "two hundred fifty-one million, four hundred fifteen thousand, two hundred fifty-two".