25283911512721 has 45 divisors (see below), whose sum is σ = 27276418696359. Its totient is φ = 23436917344512.

The previous prime is 25283911512709. The next prime is 25283911512731. The reversal of 25283911512721 is 12721511938252.

The square root of 25283911512721 is 5028311.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 286551443025 + 24997360069696 = 535305^2 + 4999736^2 .

It is not a de Polignac number, because 25283911512721 - 2⁷ = 25283911512593 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25283911512731) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 184554098565 + ... + 184554098701.

Almost surely, 2^{25283911512721} is an apocalyptic number.

25283911512721 is the 5028311-st square number.

25283911512721 is the 2514156-th centered octagonal number.

It is an amenable number.

25283911512721 is a deficient number, since it is larger than the sum of its proper divisors (1992507183638).

25283911512721 is an frugal number, since it uses more digits than its factorization.

25283911512721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 281 counting only the distinct ones).

The product of its digits is 604800, while the sum is 49.

The spelling of 25283911512721 in words is "twenty-five trillion, two hundred eighty-three billion, nine hundred eleven million, five hundred twelve thousand, seven hundred twenty-one".