825014405 has 24 divisors (see below), whose sum is σ = 1018788192. Its totient is φ = 641310176.

The previous prime is 825014387. The next prime is 825014413. The reversal of 825014405 is 504410528.

It is not a de Polignac number, because 825014405 - 2⁸ = 825014149 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1862114 + ... + 1862556.

It is an arithmetic number, because the mean of its divisors is an integer number (42449508).

Almost surely, 2^825014405 is an apocalyptic number.

It is an amenable number.

825014405 is a deficient number, since it is larger than the sum of its proper divisors (193773787).

825014405 is a wasteful number, since it uses less digits than its factorization.

825014405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 614 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 29.

The square root of 825014405 is about 28723.0639904590. The cubic root of 825014405 is about 937.8941863535.

The spelling of 825014405 in words is "eight hundred twenty-five million, fourteen thousand, four hundred five".