902973057201 has 56 divisors (see below), whose sum is σ = 1368960989760. Its totient is φ = 595296151200.

The previous prime is 902973057191. The next prime is 902973057209. The reversal of 902973057201 is 102750379209.

902973057201 is a `hidden beast` number, since 9 + 0 + 2 + 9 + 73 + 0 + 572 + 0 + 1 = 666.

902973057201 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 902973057201 - 2¹⁵ = 902973024433 is a prime.

It is not an unprimeable number, because it can be changed into a prime (902973057209) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 23599756 + ... + 23637986.

It is an arithmetic number, because the mean of its divisors is an integer number (24445731960).

Almost surely, 2^902973057201 is an apocalyptic number.

It is an amenable number.

902973057201 is a deficient number, since it is larger than the sum of its proper divisors (465987932559).

902973057201 is a wasteful number, since it uses less digits than its factorization.

902973057201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38609 (or 38594 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 902973057201 in words is "nine hundred two billion, nine hundred seventy-three million, fifty-seven thousand, two hundred one".