25753125 has 48 divisors (see below), whose sum is σ = 44622144. Its totient is φ = 13200000.

The previous prime is 25753093. The next prime is 25753127. The reversal of 25753125 is 52135752.

It is not a de Polignac number, because 25753125 - 2⁵ = 25753093 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 25753092 and 25753101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (25753127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 384342 + ... + 384408.

It is an arithmetic number, because the mean of its divisors is an integer number (929628).

Almost surely, 2^25753125 is an apocalyptic number.

25753125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25753125 is a deficient number, since it is larger than the sum of its proper divisors (18869019).

25753125 is an frugal number, since it uses more digits than its factorization.

25753125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136 (or 116 counting only the distinct ones).

The product of its digits is 10500, while the sum is 30.

The square root of 25753125 is about 5074.7536886040. The cubic root of 25753125 is about 295.3089743707.

Adding to 25753125 its reverse (52135752), we get a palindrome (77888877).

It can be divided in two parts, 25753 and 125, that added together give a triangular number (25878 = T₂₂₇).

The spelling of 25753125 in words is "twenty-five million, seven hundred fifty-three thousand, one hundred twenty-five".