25772028282513 has 10 divisors (see below), whose sum is σ = 38498955829554. Its totient is φ = 17181352188288.

The previous prime is 25772028282493. The next prime is 25772028282523. The reversal of 25772028282513 is 31528282027752.

25772028282513 is a `hidden beast` number, since 2 + 5 + 7 + 7 + 20 + 28 + 2 + 82 + 513 = 666.

It can be written as a sum of positive squares in only one way, i.e., 22672006049169 + 3100022233344 = 4761513^2 + 1760688^2 .

It is not a de Polignac number, because 25772028282513 - 2⁶ = 25772028282449 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 25772028282513.

It is not an unprimeable number, because it can be changed into a prime (25772028282523) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 159086594256 + ... + 159086594417.

Almost surely, 2^{25772028282513} is an apocalyptic number.

It is an amenable number.

25772028282513 is a deficient number, since it is larger than the sum of its proper divisors (12726927547041).

25772028282513 is an equidigital number, since it uses as much as digits as its factorization.

25772028282513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318173188685 (or 318173188676 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 25772028282513 in words is "twenty-five trillion, seven hundred seventy-two billion, twenty-eight million, two hundred eighty-two thousand, five hundred thirteen".