125328025 has 9 divisors (see below), whose sum is σ = 155476191. Its totient is φ = 100217640.

The previous prime is 125328013. The next prime is 125328043. The reversal of 125328025 is 520823521.

The square root of 125328025 is 11195.

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

It can be written as a sum of positive squares in only one way, i.e., 45118089 + 80209936 = 6717^2 + 8956^2 .

It is not a de Polignac number, because 125328025 - 2²¹ = 123230873 is a prime.

It is a super-2 number, since 2×125328025² = 31414227700801250, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 125327984 and 125328002.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 54856 + ... + 57094.

Almost surely, 2^125328025 is an apocalyptic number.

125328025 is the 11195-th square number.

125328025 is the 5598-th centered octagonal number.

It is an amenable number.

125328025 is a deficient number, since it is larger than the sum of its proper divisors (30148166).

125328025 is an frugal number, since it uses more digits than its factorization.

125328025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4488 (or 2244 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 28.

The cubic root of 125328025 is about 500.4369846442.

The spelling of 125328025 in words is "one hundred twenty-five million, three hundred twenty-eight thousand, twenty-five".