25209671625 has 24 divisors (see below), whose sum is σ = 45444636744. Its totient is φ = 13445157600.

The previous prime is 25209671621. The next prime is 25209671639. The reversal of 25209671625 is 52617690252.

25209671625 is a `hidden beast` number, since 2 + 520 + 9 + 67 + 1 + 62 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1208535696 + 24001135929 = 34764^2 + 154923^2 .

It is not a de Polignac number, because 25209671625 - 2² = 25209671621 is a prime.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (25209671621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11203174 + ... + 11205423.

It is an arithmetic number, because the mean of its divisors is an integer number (1893526531).

Almost surely, 2^25209671625 is an apocalyptic number.

25209671625 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25209671625 is a deficient number, since it is larger than the sum of its proper divisors (20234965119).

25209671625 is a wasteful number, since it uses less digits than its factorization.

25209671625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22408618 (or 22408605 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 25209671625 in words is "twenty-five billion, two hundred nine million, six hundred seventy-one thousand, six hundred twenty-five".