825210531 has 16 divisors (see below), whose sum is σ = 1223393920. Its totient is φ = 549753480.

The previous prime is 825210523. The next prime is 825210541. The reversal of 825210531 is 135012528.

It is a happy number.

825210531 is a `hidden beast` number, since 82 + 52 + 1 + 0 + 531 = 666.

It is not a de Polignac number, because 825210531 - 2³ = 825210523 is a prime.

It is a super-2 number, since 2×825210531² = 1361944840946603922, which contains 22 as substring.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 825210495 and 825210504.

It is not an unprimeable number, because it can be changed into a prime (825210541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 31356 + ... + 51318.

It is an arithmetic number, because the mean of its divisors is an integer number (76462120).

Almost surely, 2^825210531 is an apocalyptic number.

825210531 is a deficient number, since it is larger than the sum of its proper divisors (398183389).

825210531 is a wasteful number, since it uses less digits than its factorization.

825210531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21503 (or 21497 counting only the distinct ones).

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

The square root of 825210531 is about 28726.4778732096. The cubic root of 825210531 is about 937.9685005554.

The spelling of 825210531 in words is "eight hundred twenty-five million, two hundred ten thousand, five hundred thirty-one".