25956754321 has 9 divisors (see below), whose sum is σ = 26329126971. Its totient is φ = 25589582352.

The previous prime is 25956754301. The next prime is 25956754361. The reversal of 25956754321 is 12345765952.

The square root of 25956754321 is 161111.

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., 14734318225 + 11222436096 = 121385^2 + 105936^2 .

It is not a de Polignac number, because 25956754321 - 2¹⁷ = 25956623249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25956754301) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11760000 + ... + 11762206.

Almost surely, 2^25956754321 is an apocalyptic number.

25956754321 is the 161111-st square number.

25956754321 is the 80556-th centered octagonal number.

It is an amenable number.

25956754321 is a deficient number, since it is larger than the sum of its proper divisors (372372650).

25956754321 is an frugal number, since it uses more digits than its factorization.

25956754321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4560 (or 2280 counting only the distinct ones).

The product of its digits is 2268000, while the sum is 49.

Multiplying 25956754321 by its sum of digits (49), we get a square (1271880961729 = 1127777²).

The spelling of 25956754321 in words is "twenty-five billion, nine hundred fifty-six million, seven hundred fifty-four thousand, three hundred twenty-one".