25725272881 has 27 divisors (see below), whose sum is σ = 32908916313. Its totient is φ = 20036043720.

The previous prime is 25725272869. The next prime is 25725272887. The reversal of 25725272881 is 18827252752.

It is a happy number.

The square root of 25725272881 is 160391.

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

It is not a de Polignac number, because 25725272881 - 2¹⁵ = 25725240113 is a prime.

It is a super-2 number, since 2×25725272881² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (25725272887) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12349066 + ... + 12351148.

Almost surely, 2^25725272881 is an apocalyptic number.

25725272881 is the 160391-st square number.

25725272881 is the 80196-th centered octagonal number.

It is an amenable number.

25725272881 is a deficient number, since it is larger than the sum of its proper divisors (7183643432).

25725272881 is an frugal number, since it uses more digits than its factorization.

25725272881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4202 (or 2101 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 49.

Multiplying 25725272881 by its sum of digits (49), we get a square (1260538371169 = 1122737²).

25725272881 divided by its sum of digits (49) gives a square (525005569 = 22913²).

The spelling of 25725272881 in words is "twenty-five billion, seven hundred twenty-five million, two hundred seventy-two thousand, eight hundred eighty-one".