2901057156001 has 9 divisors (see below), whose sum is σ = 2927151621849. Its totient is φ = 2875193319936.

The previous prime is 2901057155981. The next prime is 2901057156047. The reversal of 2901057156001 is 1006517501092.

The square root of 2901057156001 is 1703249.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1119366116001 + 1781691040000 = 1058001^2 + 1334800^2 .

It is not a de Polignac number, because 2901057156001 - 2⁹ = 2901057155489 is a prime.

It is a super-2 number, since 2×2901057156001² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2901057156061) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 192459601 + ... + 192474673.

Almost surely, 2^{2901057156001} is an apocalyptic number.

2901057156001 is the 1703249-th square number.

2901057156001 is the 851625-th centered octagonal number.

It is an amenable number.

2901057156001 is a deficient number, since it is larger than the sum of its proper divisors (26094465848).

2901057156001 is an frugal number, since it uses more digits than its factorization.

2901057156001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30372 (or 15186 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 37.

The spelling of 2901057156001 in words is "two trillion, nine hundred one billion, fifty-seven million, one hundred fifty-six thousand, one".