5157318366729 has 27 divisors (see below), whose sum is σ = 7493081287783. Its totient is φ = 3418195888464.

The previous prime is 5157318366721. The next prime is 5157318366743. The reversal of 5157318366729 is 9276638137515.

The square root of 5157318366729 is 2270973.

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

5157318366729 is a `hidden beast` number, since 5 + 1 + 573 + 1 + 8 + 36 + 6 + 7 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5137824622329 + 19493744400 = 2266677^2 + 139620^2 .

It is not a de Polignac number, because 5157318366729 - 2³ = 5157318366721 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5157318366721) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1219510387 + ... + 1219514615.

Almost surely, 2^{5157318366729} is an apocalyptic number.

5157318366729 is the 2270973-rd square number.

5157318366729 is the 1135487-th centered octagonal number.

It is an amenable number.

5157318366729 is a deficient number, since it is larger than the sum of its proper divisors (2335762921054).

5157318366729 is an frugal number, since it uses more digits than its factorization.

5157318366729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8822 (or 4411 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 63.

The spelling of 5157318366729 in words is "five trillion, one hundred fifty-seven billion, three hundred eighteen million, three hundred sixty-six thousand, seven hundred twenty-nine".