251622016 has 64 divisors (see below), whose sum is σ = 531828000. Its totient is φ = 118250496.

The previous prime is 251621989. The next prime is 251622029. The reversal of 251622016 is 610226152.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 381495 + ... + 382153.

Almost surely, 2^251622016 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 251622016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265914000).

251622016 is an abundant number, since it is smaller than the sum of its proper divisors (280205984).

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

251622016 is a wasteful number, since it uses less digits than its factorization.

251622016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 849 (or 837 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 251622016 is about 15862.5980217618. The cubic root of 251622016 is about 631.3199971264.

Adding to 251622016 its reverse (610226152), we get a palindrome (861848168).

The spelling of 251622016 in words is "two hundred fifty-one million, six hundred twenty-two thousand, sixteen".