825320463 has 16 divisors (see below), whose sum is σ = 1203092352. Its totient is φ = 499100000.

The previous prime is 825320459. The next prime is 825320479. The reversal of 825320463 is 364023528.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 825320463 - 2² = 825320459 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825320413) 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, 11913 + ... + 42338.

It is an arithmetic number, because the mean of its divisors is an integer number (75193272).

Almost surely, 2^825320463 is an apocalyptic number.

825320463 is a deficient number, since it is larger than the sum of its proper divisors (377771889).

825320463 is a wasteful number, since it uses less digits than its factorization.

825320463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54726.

The product of its (nonzero) digits is 34560, while the sum is 33.

The square root of 825320463 is about 28728.3912358489. The cubic root of 825320463 is about 938.0101497955.

The spelling of 825320463 in words is "eight hundred twenty-five million, three hundred twenty thousand, four hundred sixty-three".