251117072 has 40 divisors (see below), whose sum is σ = 519832800. Its totient is φ = 117165312.

The previous prime is 251117057. The next prime is 251117089. The reversal of 251117072 is 270711152.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14204 + ... + 26532.

It is an arithmetic number, because the mean of its divisors is an integer number (12995820).

Almost surely, 2^251117072 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 251117072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259916400).

251117072 is an abundant number, since it is smaller than the sum of its proper divisors (268715728).

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

251117072 is a wasteful number, since it uses less digits than its factorization.

251117072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12423 (or 12417 counting only the distinct ones).

The product of its (nonzero) digits is 980, while the sum is 26.

The square root of 251117072 is about 15846.6738465837. The cubic root of 251117072 is about 630.8974125867.

The spelling of 251117072 in words is "two hundred fifty-one million, one hundred seventeen thousand, seventy-two".