5151529656 has 288 divisors, whose sum is σ = 17832222720. Its totient is φ = 1314144000.

The previous prime is 5151529651. The next prime is 5151529667. The reversal of 5151529656 is 6569251515.

5151529656 is a `hidden beast` number, since 51 + 515 + 29 + 65 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5151529651) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2639481 + ... + 2641431.

It is an arithmetic number, because the mean of its divisors is an integer number (61917440).

Almost surely, 2^5151529656 is an apocalyptic number.

5151529656 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 5151529656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8916111360).

5151529656 is an abundant number, since it is smaller than the sum of its proper divisors (12680693064).

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

5151529656 is a wasteful number, since it uses less digits than its factorization.

5151529656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2027 (or 2007 counting only the distinct ones).

The product of its digits is 405000, while the sum is 45.

The square root of 5151529656 is about 71774.1572991282. The cubic root of 5151529656 is about 1727.0784615008.

The spelling of 5151529656 in words is "five billion, one hundred fifty-one million, five hundred twenty-nine thousand, six hundred fifty-six".