7825125 has 64 divisors (see below), whose sum is σ = 16293888. Its totient is φ = 3240000.

The previous prime is 7825121. The next prime is 7825133. The reversal of 7825125 is 5215287.

It is not a de Polignac number, because 7825125 - 2² = 7825121 is a prime.

It is a super-2 number, since 2×7825125² = 122465162531250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 7825092 and 7825101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7825121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28740 + ... + 29010.

It is an arithmetic number, because the mean of its divisors is an integer number (254592).

Almost surely, 2^7825125 is an apocalyptic number.

7825125 is a gapful number since it is divisible by the number (75) formed by its first and last digit.

It is an amenable number.

7825125 is an abundant number, since it is smaller than the sum of its proper divisors (8468763).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

7825125 is a wasteful number, since it uses less digits than its factorization.

7825125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 307 (or 297 counting only the distinct ones).

The product of its digits is 5600, while the sum is 30.

The square root of 7825125 is about 2797.3424888633. The cubic root of 7825125 is about 198.5319589764.

The spelling of 7825125 in words is "seven million, eight hundred twenty-five thousand, one hundred twenty-five".