825248413 has 16 divisors (see below), whose sum is σ = 955146240. Its totient is φ = 705121200.

The previous prime is 825248393. The next prime is 825248449. The reversal of 825248413 is 314842528.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 825248413 - 2⁹ = 825247901 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825248453) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 10998 + ... + 42088.

It is an arithmetic number, because the mean of its divisors is an integer number (59696640).

Almost surely, 2^825248413 is an apocalyptic number.

It is an amenable number.

825248413 is a deficient number, since it is larger than the sum of its proper divisors (129897827).

825248413 is a wasteful number, since it uses less digits than its factorization.

825248413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31248.

The product of its digits is 61440, while the sum is 37.

The square root of 825248413 is about 28727.1372224940. The cubic root of 825248413 is about 937.9828530863.

It can be divided in two parts, 8252 and 48413, that added together give a palindrome (56665).

The spelling of 825248413 in words is "eight hundred twenty-five million, two hundred forty-eight thousand, four hundred thirteen".