251151264 has 324 divisors, whose sum is σ = 919561734. Its totient is φ = 64447488.

The previous prime is 251151233. The next prime is 251151269. The reversal of 251151264 is 462151152.

251151264 is a `hidden beast` number, since 251 + 151 + 264 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 246741264 + 4410000 = 15708^2 + 2100^2 .

It is not an unprimeable number, because it can be changed into a prime (251151269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 6787854 + ... + 6787890.

Almost surely, 2^251151264 is an apocalyptic number.

251151264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251151264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (459780867).

251151264 is an abundant number, since it is smaller than the sum of its proper divisors (668410470).

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

251151264 is a wasteful number, since it uses less digits than its factorization.

251151264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117 (or 62 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 251151264 is about 15847.7526482464. The cubic root of 251151264 is about 630.9260455336.

The spelling of 251151264 in words is "two hundred fifty-one million, one hundred fifty-one thousand, two hundred sixty-four".