5106157056 has 960 divisors, whose sum is σ = 21019654656. Its totient is φ = 1194393600.

The previous prime is 5106157037. The next prime is 5106157057. The reversal of 5106157056 is 6507516015.

5106157056 = 401³ + 402³ + ... + 463³.

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 5106157056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5106157057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124540396 + ... + 124540436.

Almost surely, 2^5106157056 is an apocalyptic number.

5106157056 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 5106157056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10509827328).

5106157056 is an abundant number, since it is smaller than the sum of its proper divisors (15913497600).

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

5106157056 is a wasteful number, since it uses less digits than its factorization.

5106157056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 31500, while the sum is 36.

The square root of 5106157056 is about 71457.3792970327. The cubic root of 5106157056 is about 1721.9930313307.

The spelling of 5106157056 in words is "five billion, one hundred six million, one hundred fifty-seven thousand, fifty-six".