824128074225 has 27 divisors (see below), whose sum is σ = 1476129341089. Its totient is φ = 439527710400.

The previous prime is 824128074193. The next prime is 824128074229. The reversal of 824128074225 is 522470821428.

The square root of 824128074225 is 907815.

It is a perfect power (a square), and thus also a powerful number.

824128074225 is a `hidden beast` number, since 8 + 2 + 412 + 8 + 0 + 7 + 4 + 225 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 209177254881 + 614950819344 = 457359^2 + 784188^2 .

It is not a de Polignac number, because 824128074225 - 2⁵ = 824128074193 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (824128074229) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13586965 + ... + 13647485.

Almost surely, 2^824128074225 is an apocalyptic number.

824128074225 is the 907815-th square number.

824128074225 is the 453908-th centered octagonal number.

It is an amenable number.

824128074225 is a deficient number, since it is larger than the sum of its proper divisors (652001266864).

824128074225 is an frugal number, since it uses more digits than its factorization.

824128074225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121058 (or 60529 counting only the distinct ones).

The product of its (nonzero) digits is 573440, while the sum is 45.

The spelling of 824128074225 in words is "eight hundred twenty-four billion, one hundred twenty-eight million, seventy-four thousand, two hundred twenty-five".