251916912 has 160 divisors (see below), whose sum is σ = 804392960. Its totient is φ = 74960640.

The previous prime is 251916901. The next prime is 251916913. The reversal of 251916912 is 219619152.

251916912 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251916913) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 173373 + ... + 174819.

It is an arithmetic number, because the mean of its divisors is an integer number (5027456).

Almost surely, 2^251916912 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 251916912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402196480).

251916912 is an abundant number, since it is smaller than the sum of its proper divisors (552476048).

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

251916912 is a wasteful number, since it uses less digits than its factorization.

251916912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1508 (or 1496 counting only the distinct ones).

The product of its digits is 9720, while the sum is 36.

The square root of 251916912 is about 15871.8906246231. The cubic root of 251916912 is about 631.5665323349.

The spelling of 251916912 in words is "two hundred fifty-one million, nine hundred sixteen thousand, nine hundred twelve".