527878125 has 54 divisors (see below), whose sum is σ = 960059646. Its totient is φ = 279480000.

The previous prime is 527878093. The next prime is 527878139. The reversal of 527878125 is 521878725.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 9 ways, for example, as 519566436 + 8311689 = 22794^2 + 2883^2 .

It is not a de Polignac number, because 527878125 - 2⁵ = 527878093 is a prime.

It is a super-3 number, since 3×527878125³ (a number of 27 digits) contains 333 as substring.

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

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 3853057 + ... + 3853193.

Almost surely, 2^527878125 is an apocalyptic number.

It is an amenable number.

527878125 is a deficient number, since it is larger than the sum of its proper divisors (432181521).

527878125 is an frugal number, since it uses more digits than its factorization.

527878125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 145 counting only the distinct ones).

The product of its digits is 313600, while the sum is 45.

The square root of 527878125 is about 22975.5984688103. The cubic root of 527878125 is about 808.1858116967.

Multiplying 527878125 by its sum of digits (45), we get a square (23754515625 = 154125²).

527878125 divided by its sum of digits (45) gives a square (11730625 = 3425²).

The spelling of 527878125 in words is "five hundred twenty-seven million, eight hundred seventy-eight thousand, one hundred twenty-five".