527625 has 48 divisors (see below), whose sum is σ = 1103232. Its totient is φ = 237600.

The previous prime is 527623. The next prime is 527627. The reversal of 527625 is 526725.

527625 = T₂₂ + T₂₃ + ... + T₁₄₆.

527625 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (527623) and next prime (527627).

It is not a de Polignac number, because 527625 - 2¹ = 527623 is a prime.

It is a d-powerful number, because it can be written as 5³ + 2⁵ + 6 + 7² + 2¹⁹ + 5⁵ .

527625 is strictly pandigital in base 7.

It is a Curzon number.

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (527623) 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, 7842 + ... + 7908.

It is an arithmetic number, because the mean of its divisors is an integer number (22984).

2⁵²⁷⁶²⁵ is an apocalyptic number.

It is an amenable number.

527625 is an abundant number, since it is smaller than the sum of its proper divisors (575607).

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

527625 is a wasteful number, since it uses less digits than its factorization.

527625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 82 counting only the distinct ones).

The product of its digits is 4200, while the sum is 27.

The square root of 527625 is about 726.3780007682. The cubic root of 527625 is about 80.8056612215.

Subtracting from 527625 its reverse (526725), we obtain a square (900 = 30²).

The spelling of 527625 in words is "five hundred twenty-seven thousand, six hundred twenty-five".