3166524157729 has 15 divisors (see below), whose sum is σ = 3220884460915. Its totient is φ = 3113081245120.

The previous prime is 3166524157723. The next prime is 3166524157751. The reversal of 3166524157729 is 9277514256613.

The square root of 3166524157729 is 1779473.

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., 1286466350625 + 1880057807104 = 1134225^2 + 1371152^2 .

It is not a de Polignac number, because 3166524157729 - 2³ = 3166524157721 is a prime.

It is a super-3 number, since 3×3166524157729³ (a number of 38 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3166524157721) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8970323217 + ... + 8970323569.

Almost surely, 2^{3166524157729} is an apocalyptic number.

3166524157729 is the 1779473-rd square number.

3166524157729 is the 889737-th centered octagonal number.

It is an amenable number.

3166524157729 is a deficient number, since it is larger than the sum of its proper divisors (54360303186).

3166524157729 is an frugal number, since it uses more digits than its factorization.

3166524157729 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 424 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 58.

The spelling of 3166524157729 in words is "three trillion, one hundred sixty-six billion, five hundred twenty-four million, one hundred fifty-seven thousand, seven hundred twenty-nine".