2000575120401 has 72 divisors (see below), whose sum is σ = 3440411076648. Its totient is φ = 1112732121600.

The previous prime is 2000575120367. The next prime is 2000575120403. The reversal of 2000575120401 is 1040215750002.

2000575120401 is a `hidden beast` number, since 200 + 0 + 5 + 7 + 51 + 2 + 0 + 401 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 333315702225 + 1667259418176 = 577335^2 + 1291224^2 .

It is not a de Polignac number, because 2000575120401 - 2⁶ = 2000575120337 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2000575120403) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2040741 + ... + 2857581.

Almost surely, 2^{2000575120401} is an apocalyptic number.

It is an amenable number.

2000575120401 is a deficient number, since it is larger than the sum of its proper divisors (1439835956247).

2000575120401 is a wasteful number, since it uses less digits than its factorization.

2000575120401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 817055 (or 817041 counting only the distinct ones).

The product of its (nonzero) digits is 2800, while the sum is 27.

The spelling of 2000575120401 in words is "two trillion, five hundred seventy-five million, one hundred twenty thousand, four hundred one".