5153856336 has 200 divisors, whose sum is σ = 15522388200. Its totient is φ = 1648926720.

The previous prime is 5153856329. The next prime is 5153856341. The reversal of 5153856336 is 6336583515.

It is a happy number.

5153856336 is a `hidden beast` number, since 5 + 1 + 5 + 3 + 8 + 5 + 633 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 617025600 + 4536830736 = 24840^2 + 67356^2 .

It is a junction number, because it is equal to n+sod(n) for n = 5153856291 and 5153856300.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9057460 + ... + 9058028.

It is an arithmetic number, because the mean of its divisors is an integer number (77611941).

Almost surely, 2^5153856336 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5153856336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7761194100).

5153856336 is an abundant number, since it is smaller than the sum of its proper divisors (10368531864).

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

5153856336 is a wasteful number, since it uses less digits than its factorization.

5153856336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859 (or 844 counting only the distinct ones).

The product of its digits is 972000, while the sum is 45.

The square root of 5153856336 is about 71790.3638101939. The cubic root of 5153856336 is about 1727.3384330932.

The spelling of 5153856336 in words is "five billion, one hundred fifty-three million, eight hundred fifty-six thousand, three hundred thirty-six".