5288825 has 12 divisors (see below), whose sum is σ = 6634620. Its totient is φ = 4181760.

The previous prime is 5288807. The next prime is 5288851.

5288825 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 6 ways, for example, as 657721 + 4631104 = 811^2 + 2152^2 .

It is not a de Polignac number, because 5288825 - 2¹⁰ = 5287801 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1037 + ... + 3413.

It is an arithmetic number, because the mean of its divisors is an integer number (552885).

Almost surely, 2^5288825 is an apocalyptic number.

It is an amenable number.

5288825 is a deficient number, since it is larger than the sum of its proper divisors (1345795).

5288825 is a wasteful number, since it uses less digits than its factorization.

5288825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2476 (or 2471 counting only the distinct ones).

The product of its digits is 51200, while the sum is 38.

The square root of 5288825 is about 2299.7445510317. The cubic root of 5288825 is about 174.2287145158.

The spelling of 5288825 in words is "five million, two hundred eighty-eight thousand, eight hundred twenty-five".