5105959936 has 297 divisors, whose sum is σ = 13516445397. Its totient is φ = 1920737280.

The previous prime is 5105959913. The next prime is 5105960033. The reversal of 5105959936 is 6399595015.

The square root of 5105959936 is 71456.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2677441536 + 2428518400 = 51744^2 + 49280^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 176067570 + ... + 176067598.

Almost surely, 2^5105959936 is an apocalyptic number.

5105959936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

5105959936 is the 71456-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5105959936

5105959936 is an abundant number, since it is smaller than the sum of its proper divisors (8410485461).

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

5105959936 is a wasteful number, since it uses less digits than its factorization.

5105959936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 1640250, while the sum is 52.

The cubic root of 5105959936 is about 1721.9708722242.

The spelling of 5105959936 in words is "five billion, one hundred five million, nine hundred fifty-nine thousand, nine hundred thirty-six".