5310825 has 36 divisors (see below), whose sum is σ = 9530640. Its totient is φ = 2608320.

The previous prime is 5310803. The next prime is 5310841. The reversal of 5310825 is 5280135.

It is not a de Polignac number, because 5310825 - 2⁹ = 5310313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 5310795 and 5310804.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12466 + ... + 12884.

It is an arithmetic number, because the mean of its divisors is an integer number (264740).

Almost surely, 2^5310825 is an apocalyptic number.

It is an amenable number.

5310825 is a deficient number, since it is larger than the sum of its proper divisors (4219815).

5310825 is a wasteful number, since it uses less digits than its factorization.

5310825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 5310825 is about 2304.5227271607. The cubic root of 5310825 is about 174.4699608667.

It can be divided in two parts, 53 and 10825, that added together give a triangular number (10878 = T₁₄₇).

The spelling of 5310825 in words is "five million, three hundred ten thousand, eight hundred twenty-five".