5101057136704 has 63 divisors (see below), whose sum is σ = 10753519323373. Its totient is φ = 2400352928768.

The previous prime is 5101057136671. The next prime is 5101057136729. The reversal of 5101057136704 is 4076317501015.

The square root of 5101057136704 is 2258552.

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., 3971411265600 + 1129645871104 = 1992840^2 + 1062848^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 307154769 + ... + 307171375.

Almost surely, 2^{5101057136704} is an apocalyptic number.

5101057136704 is the 2258552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5101057136704

5101057136704 is an abundant number, since it is smaller than the sum of its proper divisors (5652462186669).

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

5101057136704 is an frugal number, since it uses more digits than its factorization.

5101057136704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33260 (or 16626 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 40.

The spelling of 5101057136704 in words is "five trillion, one hundred one billion, fifty-seven million, one hundred thirty-six thousand, seven hundred four".