251213364 has 72 divisors (see below), whose sum is σ = 677040000. Its totient is φ = 78309504.

The previous prime is 251213363. The next prime is 251213371. The reversal of 251213364 is 463312152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251213363) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51712 + ... + 56360.

Almost surely, 2^251213364 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 251213364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338520000).

251213364 is an abundant number, since it is smaller than the sum of its proper divisors (425826636).

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

251213364 is a wasteful number, since it uses less digits than its factorization.

251213364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4757 (or 4752 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 251213364 is about 15849.7117954870. The cubic root of 251213364 is about 630.9780424563.

It can be divided in two parts, 2512 and 13364, that added together give a square (15876 = 126²).

The spelling of 251213364 in words is "two hundred fifty-one million, two hundred thirteen thousand, three hundred sixty-four".