6009357057201 has 81 divisors (see below), whose sum is σ = 9494273370699. Its totient is φ = 3662037104544.

The previous prime is 6009357057173. The next prime is 6009357057203. The reversal of 6009357057201 is 1027507539006.

The square root of 6009357057201 is 2451399.

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

6009357057201 is a `hidden beast` number, since 6 + 0 + 0 + 9 + 3 + 5 + 70 + 572 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3151161072801 + 2858195984400 = 1775151^2 + 1690620^2 .

It is not a de Polignac number, because 6009357057201 - 2⁵ = 6009357057169 is a prime.

It is a super-2 number, since 2×6009357057201² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6009357057203) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4052161806 + ... + 4052163288.

Almost surely, 2^{6009357057201} is an apocalyptic number.

6009357057201 is the 2451399-th square number.

6009357057201 is the 1225700-th centered octagonal number.

It is an amenable number.

6009357057201 is a deficient number, since it is larger than the sum of its proper divisors (3484916313498).

6009357057201 is an equidigital number, since it uses as much as digits as its factorization.

6009357057201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3068 (or 1534 counting only the distinct ones).

The product of its (nonzero) digits is 396900, while the sum is 45.

The spelling of 6009357057201 in words is "six trillion, nine billion, three hundred fifty-seven million, fifty-seven thousand, two hundred one".