5101165566721 has 6 divisors (see below), whose sum is σ = 5934008924610. Its totient is φ = 4372427628576.

The previous prime is 5101165566713. The next prime is 5101165566737. The reversal of 5101165566721 is 1276655611015.

It can be written as a sum of positive squares in only one way, i.e., 5092419576321 + 8745990400 = 2256639^2 + 93520^2 .

It is not a de Polignac number, because 5101165566721 - 2³ = 5101165566713 is a prime.

It is a super-2 number, since 2×5101165566721² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5101165566521) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 52052709816 + ... + 52052709913.

It is an arithmetic number, because the mean of its divisors is an integer number (989001487435).

Almost surely, 2^{5101165566721} is an apocalyptic number.

It is an amenable number.

5101165566721 is a deficient number, since it is larger than the sum of its proper divisors (832843357889).

5101165566721 is a wasteful number, since it uses less digits than its factorization.

5101165566721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104105419743 (or 104105419736 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 46.

The spelling of 5101165566721 in words is "five trillion, one hundred one billion, one hundred sixty-five million, five hundred sixty-six thousand, seven hundred twenty-one".