653146830625 has 15 divisors (see below), whose sum is σ = 816197527717. Its totient is φ = 522501301000.

The previous prime is 653146830613. The next prime is 653146830649. The reversal of 653146830625 is 526038641356.

The square root of 653146830625 is 808175.

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

It can be written as a sum of positive squares in 2 ways, for example, as 51206711521 + 601940119104 = 226289^2 + 775848^2 .

It is not a de Polignac number, because 653146830625 - 2²³ = 653138442017 is a prime.

It is a super-3 number, since 3×653146830625³ (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

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 14 ways as a sum of consecutive naturals, for example, 20188212 + ... + 20220538.

Almost surely, 2^653146830625 is an apocalyptic number.

653146830625 is the 808175-th square number.

653146830625 is the 404088-th centered octagonal number.

It is an amenable number.

653146830625 is a deficient number, since it is larger than the sum of its proper divisors (163050697092).

653146830625 is an frugal number, since it uses more digits than its factorization.

653146830625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64674 (or 32332 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 49.

Multiplying 653146830625 by its sum of digits (49), we get a square (32004194700625 = 5657225²).

The spelling of 653146830625 in words is "six hundred fifty-three billion, one hundred forty-six million, eight hundred thirty thousand, six hundred twenty-five".