251045916 has 48 divisors (see below), whose sum is σ = 641305728. Its totient is φ = 75803200.

The previous prime is 251045887. The next prime is 251045929. The reversal of 251045916 is 619540152.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35431 + ... + 41921.

It is an arithmetic number, because the mean of its divisors is an integer number (13360536).

Almost surely, 2^251045916 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 251045916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320652864).

251045916 is an abundant number, since it is smaller than the sum of its proper divisors (390259812).

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

251045916 is a wasteful number, since it uses less digits than its factorization.

251045916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6802 (or 6800 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 33.

The square root of 251045916 is about 15844.4285475999. The cubic root of 251045916 is about 630.8378170406.

The spelling of 251045916 in words is "two hundred fifty-one million, forty-five thousand, nine hundred sixteen".