256551516 has 96 divisors (see below), whose sum is σ = 741115200. Its totient is φ = 76204800.

The previous prime is 256551497. The next prime is 256551527. The reversal of 256551516 is 615155652.

256551516 is a `hidden beast` number, since 2 + 56 + 551 + 51 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37566 + ... + 43866.

It is an arithmetic number, because the mean of its divisors is an integer number (7719950).

Almost surely, 2^256551516 is an apocalyptic number.

256551516 is a gapful number since it is divisible by the number (26) 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 256551516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370557600).

256551516 is an abundant number, since it is smaller than the sum of its proper divisors (484563684).

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

256551516 is a wasteful number, since it uses less digits than its factorization.

256551516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6356 (or 6348 counting only the distinct ones).

The product of its digits is 45000, while the sum is 36.

The square root of 256551516 is about 16017.2256024569. The cubic root of 256551516 is about 635.4160713771.

The spelling of 256551516 in words is "two hundred fifty-six million, five hundred fifty-one thousand, five hundred sixteen".