824146230625 has 15 divisors (see below), whose sum is σ = 1029881491023. Its totient is φ = 659298828000.

The previous prime is 824146230599. The next prime is 824146230659. The reversal of 824146230625 is 526032641428.

The square root of 824146230625 is 907825.

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

It can be written as a sum of positive squares in 7 ways, for example, as 818632277089 + 5513953536 = 904783^2 + 74256^2 .

It is not a de Polignac number, because 824146230625 - 2⁹ = 824146230113 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 22677469 + ... + 22713781.

Almost surely, 2^824146230625 is an apocalyptic number.

824146230625 is the 907825-th square number.

824146230625 is the 453913-rd centered octagonal number.

It is an amenable number.

824146230625 is a deficient number, since it is larger than the sum of its proper divisors (205735260398).

824146230625 is an frugal number, since it uses more digits than its factorization.

824146230625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72646 (or 36318 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 43.

The spelling of 824146230625 in words is "eight hundred twenty-four billion, one hundred forty-six million, two hundred thirty thousand, six hundred twenty-five".