25763781121 has 9 divisors (see below), whose sum is σ = 27900318531. Its totient is φ = 23780025672.

The previous prime is 25763781097. The next prime is 25763781137. The reversal of 25763781121 is 12118736752.

The square root of 25763781121 is 160511.

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

It can be written as a sum of positive squares in only one way, i.e., 3811210225 + 21952570896 = 61735^2 + 148164^2 .

It is not a de Polignac number, because 25763781121 - 2⁵ = 25763781089 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25763781161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2080470 + ... + 2092816.

Almost surely, 2^25763781121 is an apocalyptic number.

25763781121 is the 160511-st square number.

25763781121 is the 80256-th centered octagonal number.

It is an amenable number.

25763781121 is a deficient number, since it is larger than the sum of its proper divisors (2136537410).

25763781121 is an frugal number, since it uses more digits than its factorization.

25763781121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24720 (or 12360 counting only the distinct ones).

The product of its digits is 141120, while the sum is 43.

The spelling of 25763781121 in words is "twenty-five billion, seven hundred sixty-three million, seven hundred eighty-one thousand, one hundred twenty-one".