25190451225 has 45 divisors (see below), whose sum is σ = 46674657007. Its totient is φ = 13431098160.

The previous prime is 25190451217. The next prime is 25190451227. The reversal of 25190451225 is 52215409152.

The square root of 25190451225 is 158715.

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

25190451225 is a `hidden beast` number, since 2 + 51 + 90 + 4 + 512 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 9068562441 + 16121888784 = 95229^2 + 126972^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 25190451225 - 2³ = 25190451217 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 25190451225.

It is not an unprimeable number, because it can be changed into a prime (25190451227) 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, 7140412 + ... + 7143938.

Almost surely, 2^25190451225 is an apocalyptic number.

25190451225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25190451225 is the 158715-th square number.

25190451225 is the 79358-th centered octagonal number.

It is an amenable number.

25190451225 is a deficient number, since it is larger than the sum of its proper divisors (21484205782).

25190451225 is an frugal number, since it uses more digits than its factorization.

25190451225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7076 (or 3535 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Multiplying 25190451225 by its sum of digits (36), we get a square (906856244100 = 952290²).

The spelling of 25190451225 in words is "twenty-five billion, one hundred ninety million, four hundred fifty-one thousand, two hundred twenty-five".