3150096072201 has 81 divisors (see below), whose sum is σ = 5235905769471. Its totient is φ = 1823808489984.

The previous prime is 3150096072163. The next prime is 3150096072203. The reversal of 3150096072201 is 1022706900513.

The square root of 3150096072201 is 1774851.

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

3150096072201 is a `hidden beast` number, since 3 + 1 + 500 + 9 + 60 + 72 + 20 + 1 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 3144646089225 + 5449982976 = 1773315^2 + 73824^2 .

It is not a de Polignac number, because 3150096072201 - 2⁷ = 3150096072073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (3150096072203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1176724875 + ... + 1176727551.

Almost surely, 2^{3150096072201} is an apocalyptic number.

3150096072201 is the 1774851-st square number.

3150096072201 is the 887426-th centered octagonal number.

It is an amenable number.

3150096072201 is a deficient number, since it is larger than the sum of its proper divisors (2085809697270).

3150096072201 is an equidigital number, since it uses as much as digits as its factorization.

3150096072201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5420 (or 2710 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

Multiplying 3150096072201 by its sum of digits (36), we get a square (113403458599236 = 10649106²).

It can be divided in two parts, 31500960 and 72201, that added together give a square (31573161 = 5619²).

The spelling of 3150096072201 in words is "three trillion, one hundred fifty billion, ninety-six million, seventy-two thousand, two hundred one".