5165160744601 has 81 divisors (see below), whose sum is σ = 6435953713791. Its totient is φ = 4139948498400.

The previous prime is 5165160744599. The next prime is 5165160744613. The reversal of 5165160744601 is 1064470615615.

The square root of 5165160744601 is 2272699.

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., 764077033225 + 4401083711376 = 874115^2 + 2097876^2 .

It is not a de Polignac number, because 5165160744601 - 2¹ = 5165160744599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5165160744691) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7474906666 + ... + 7474907356.

Almost surely, 2^{5165160744601} is an apocalyptic number.

5165160744601 is the 2272699-th square number.

5165160744601 is the 1136350-th centered octagonal number.

It is an amenable number.

5165160744601 is a deficient number, since it is larger than the sum of its proper divisors (1270792969190).

5165160744601 is an equidigital number, since it uses as much as digits as its factorization.

5165160744601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1476 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 46.

It can be divided in two parts, 5165160 and 744601, that added together give a square (5909761 = 2431²).

The spelling of 5165160744601 in words is "five trillion, one hundred sixty-five billion, one hundred sixty million, seven hundred forty-four thousand, six hundred one".