825464032801 has 8 divisors (see below), whose sum is σ = 830795923584. Its totient is φ = 820133081040.

The previous prime is 825464032781. The next prime is 825464032817. The reversal of 825464032801 is 108230464528.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 825464032801 - 2¹⁷ = 825463901729 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (825464032871) 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 7 ways as a sum of consecutive naturals, for example, 1573896 + ... + 2031766.

It is an arithmetic number, because the mean of its divisors is an integer number (103849490448).

Almost surely, 2^825464032801 is an apocalyptic number.

It is an amenable number.

825464032801 is a deficient number, since it is larger than the sum of its proper divisors (5331890783).

825464032801 is a wasteful number, since it uses less digits than its factorization.

825464032801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 469511.

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 825464032801 in words is "eight hundred twenty-five billion, four hundred sixty-four million, thirty-two thousand, eight hundred one".