5100713856 has 512 divisors, whose sum is σ = 18467712000. Its totient is φ = 1370566656.

The previous prime is 5100713851. The next prime is 5100713903. The reversal of 5100713856 is 6583170015.

5100713856 is a `hidden beast` number, since 510 + 0 + 7 + 138 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5100713856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5100713851) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37231420 + ... + 37231556.

It is an arithmetic number, because the mean of its divisors is an integer number (36069750).

Almost surely, 2^5100713856 is an apocalyptic number.

5100713856 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 5100713856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9233856000).

5100713856 is an abundant number, since it is smaller than the sum of its proper divisors (13366998144).

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

5100713856 is an equidigital number, since it uses as much as digits as its factorization.

5100713856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 5100713856 is about 71419.2821022446. The cubic root of 5100713856 is about 1721.3809281413.

The spelling of 5100713856 in words is "five billion, one hundred million, seven hundred thirteen thousand, eight hundred fifty-six".