825210315 has 32 divisors (see below), whose sum is σ = 1468247040. Its totient is φ = 439750368.

The previous prime is 825210289. The next prime is 825210317. The reversal of 825210315 is 513012528.

It is a happy number.

825210315 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 825210315 - 2¹² = 825206219 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (825210317) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 277024 + ... + 279986.

It is an arithmetic number, because the mean of its divisors is an integer number (45882720).

Almost surely, 2^825210315 is an apocalyptic number.

825210315 is a deficient number, since it is larger than the sum of its proper divisors (643036725).

825210315 is a wasteful number, since it uses less digits than its factorization.

825210315 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5040 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 825210315 is about 28726.4741136116. The cubic root of 825210315 is about 937.9684187172.

The spelling of 825210315 in words is "eight hundred twenty-five million, two hundred ten thousand, three hundred fifteen".