2001337255657 has 32 divisors (see below), whose sum is σ = 2160513146880. Its totient is φ = 1847123066880.

The previous prime is 2001337255651. The next prime is 2001337255717. The reversal of 2001337255657 is 7565527331002.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 2001337255657 - 2²⁷ = 2001203037929 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2001337255651) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 172627453 + ... + 172639045.

It is an arithmetic number, because the mean of its divisors is an integer number (67516035840).

Almost surely, 2^{2001337255657} is an apocalyptic number.

It is an amenable number.

2001337255657 is a deficient number, since it is larger than the sum of its proper divisors (159175891223).

2001337255657 is a wasteful number, since it uses less digits than its factorization.

2001337255657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12553.

The product of its (nonzero) digits is 1323000, while the sum is 46.

The spelling of 2001337255657 in words is "two trillion, one billion, three hundred thirty-seven million, two hundred fifty-five thousand, six hundred fifty-seven".