2001747573257 has 2 divisors, whose sum is σ = 2001747573258. Its totient is φ = 2001747573256.

The previous prime is 2001747573229. The next prime is 2001747573299. The reversal of 2001747573257 is 7523757471002.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1956448410361 + 45299162896 = 1398731^2 + 212836^2 .

It is a cyclic number.

It is not a de Polignac number, because 2001747573257 - 2²⁶ = 2001680464393 is a prime.

It is not a weakly prime, because it can be changed into another prime (2001747573457) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1000873786628 + 1000873786629.

It is an arithmetic number, because the mean of its divisors is an integer number (1000873786629).

Almost surely, 2^{2001747573257} is an apocalyptic number.

It is an amenable number.

2001747573257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2001747573257 is an equidigital number, since it uses as much as digits as its factorization.

2001747573257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2881200, while the sum is 50.

The spelling of 2001747573257 in words is "two trillion, one billion, seven hundred forty-seven million, five hundred seventy-three thousand, two hundred fifty-seven".