825624813 has 64 divisors (see below), whose sum is σ = 1279918080. Its totient is φ = 469497600.

The previous prime is 825624799. The next prime is 825624823. The reversal of 825624813 is 318426528.

It is not a de Polignac number, because 825624813 - 2⁵ = 825624781 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825624823) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4322548 + ... + 4322738.

It is an arithmetic number, because the mean of its divisors is an integer number (19998720).

Almost surely, 2^825624813 is an apocalyptic number.

It is an amenable number.

825624813 is a deficient number, since it is larger than the sum of its proper divisors (454293267).

825624813 is a wasteful number, since it uses less digits than its factorization.

825624813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370.

The product of its digits is 92160, while the sum is 39.

The square root of 825624813 is about 28733.6877723692. The cubic root of 825624813 is about 938.1254376612.

The spelling of 825624813 in words is "eight hundred twenty-five million, six hundred twenty-four thousand, eight hundred thirteen".