5101508857104 has 405 divisors, whose sum is σ = 15983516540901. Its totient is φ = 1517814144000.

The previous prime is 5101508857061. The next prime is 5101508857121. The reversal of 5101508857104 is 4017588051015.

The square root of 5101508857104 is 2258652.

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

5101508857104 is a `hidden beast` number, since 51 + 0 + 1 + 508 + 85 + 7 + 10 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3836693727504 + 1264815129600 = 1958748^2 + 1124640^2 .

It is a super-2 number, since 2×5101508857104² (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5101508857104.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 21168086424 + ... + 21168086664.

Almost surely, 2^{5101508857104} is an apocalyptic number.

5101508857104 is the 2258652-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5101508857104

5101508857104 is an abundant number, since it is smaller than the sum of its proper divisors (10882007683797).

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

5101508857104 is a wasteful number, since it uses less digits than its factorization.

5101508857104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 660 (or 328 counting only the distinct ones).

The product of its (nonzero) digits is 224000, while the sum is 45.

The spelling of 5101508857104 in words is "five trillion, one hundred one billion, five hundred eight million, eight hundred fifty-seven thousand, one hundred four".