825453056001 has 16 divisors (see below), whose sum is σ = 1260738168704. Its totient is φ = 470598107904.

The previous prime is 825453055997. The next prime is 825453056011. The reversal of 825453056001 is 100650354528.

It is not a de Polignac number, because 825453056001 - 2² = 825453055997 is a prime.

It is a super-2 number, since 2×825453056001² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (825453056011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 45380386 + ... + 45398571.

It is an arithmetic number, because the mean of its divisors is an integer number (78796135544).

Almost surely, 2^825453056001 is an apocalyptic number.

It is an amenable number.

825453056001 is a deficient number, since it is larger than the sum of its proper divisors (435285112703).

825453056001 is a wasteful number, since it uses less digits than its factorization.

825453056001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90779400.

The product of its (nonzero) digits is 144000, while the sum is 39.

The spelling of 825453056001 in words is "eight hundred twenty-five billion, four hundred fifty-three million, fifty-six thousand, one".