3167065140625 has 63 divisors (see below), whose sum is σ = 4145081571183. Its totient is φ = 2419578150000.

The previous prime is 3167065140529. The next prime is 3167065140637. The reversal of 3167065140625 is 5260415607613.

The square root of 3167065140625 is 1779625.

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

It can be written as a sum of positive squares in 3 ways, for example, as 2774653101441 + 392412039184 = 1665729^2 + 626428^2 .

It is not a de Polignac number, because 3167065140625 - 2¹⁷ = 3167065009553 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 5116421566 + ... + 5116422184.

Almost surely, 2^{3167065140625} is an apocalyptic number.

3167065140625 is the 1779625-th square number.

3167065140625 is the 889813-rd centered octagonal number.

It is an amenable number.

3167065140625 is a deficient number, since it is larger than the sum of its proper divisors (978016430558).

3167065140625 is an frugal number, since it uses more digits than its factorization.

3167065140625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1314 (or 647 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 3167065140625 in words is "three trillion, one hundred sixty-seven billion, sixty-five million, one hundred forty thousand, six hundred twenty-five".