3164979763521 has 45 divisors (see below), whose sum is σ = 4841494864371. Its totient is φ = 2060468737488.

The previous prime is 3164979763447. The next prime is 3164979763531. The reversal of 3164979763521 is 1253679794613.

It is a happy number.

The square root of 3164979763521 is 1779039.

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

3164979763521 is a `hidden beast` number, since 3 + 1 + 6 + 49 + 7 + 9 + 7 + 63 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 228431423025 + 2936548340496 = 477945^2 + 1713636^2 .

It is not a de Polignac number, because 3164979763521 - 2³⁹ = 2615223949633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3164979763531) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 688485795 + ... + 688490391.

Almost surely, 2^{3164979763521} is an apocalyptic number.

3164979763521 is the 1779039-th square number.

3164979763521 is the 889520-th centered octagonal number.

It is an amenable number.

3164979763521 is a deficient number, since it is larger than the sum of its proper divisors (1676515100850).

3164979763521 is an frugal number, since it uses more digits than its factorization.

3164979763521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9292 (or 4643 counting only the distinct ones).

The product of its digits is 51438240, while the sum is 63.

The spelling of 3164979763521 in words is "three trillion, one hundred sixty-four billion, nine hundred seventy-nine million, seven hundred sixty-three thousand, five hundred twenty-one".