2575078953201 has 64 divisors (see below), whose sum is σ = 3999374438400. Its totient is φ = 1634427666432.

The previous prime is 2575078953137. The next prime is 2575078953203. The reversal of 2575078953201 is 1023598705752.

2575078953201 is a `hidden beast` number, since 2 + 5 + 7 + 507 + 89 + 53 + 2 + 0 + 1 = 666.

2575078953201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2575078953201 - 2⁶ = 2575078953137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2575078953203) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 209537265 + ... + 209549553.

It is an arithmetic number, because the mean of its divisors is an integer number (62490225600).

Almost surely, 2^{2575078953201} is an apocalyptic number.

It is an amenable number.

2575078953201 is a deficient number, since it is larger than the sum of its proper divisors (1424295485199).

2575078953201 is a wasteful number, since it uses less digits than its factorization.

2575078953201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13867 (or 13861 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 2575078953201 in words is "two trillion, five hundred seventy-five billion, seventy-eight million, nine hundred fifty-three thousand, two hundred one".