5100260256 has 360 divisors, whose sum is σ = 18796945860. Its totient is φ = 1344688128.

The previous prime is 5100260197. The next prime is 5100260261. The reversal of 5100260256 is 6520620015.

5100260256 is a `hidden beast` number, since 5 + 1 + 0 + 0 + 2 + 602 + 56 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5085971856 + 14288400 = 71316^2 + 3780^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1649560 + ... + 1652648.

Almost surely, 2^5100260256 is an apocalyptic number.

5100260256 is a gapful number since it is divisible by the number (56) 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 5100260256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9398472930).

5100260256 is an abundant number, since it is smaller than the sum of its proper divisors (13696685604).

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

5100260256 is a wasteful number, since it uses less digits than its factorization.

5100260256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3138 (or 3114 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 5100260256 is about 71416.1064186504. The cubic root of 5100260256 is about 1721.3298998893.

It can be divided in two parts, 5100 and 260256, that added together give a triangular number (265356 = T₇₂₈).

The spelling of 5100260256 in words is "five billion, one hundred million, two hundred sixty thousand, two hundred fifty-six".