1993645161225 has 63 divisors (see below), whose sum is σ = 3706838860503. Its totient is φ = 1063175757840.

The previous prime is 1993645161197. The next prime is 1993645161239. The reversal of 1993645161225 is 5221615463991.

It is a happy number.

The square root of 1993645161225 is 1411965.

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

1993645161225 is a `hidden beast` number, since 1 + 9 + 9 + 364 + 51 + 6 + 1 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 717712258041 + 1275932903184 = 847179^2 + 1129572^2 .

It is not a de Polignac number, because 1993645161225 - 2²⁵ = 1993611606793 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 190610046 + ... + 190620504.

Almost surely, 2^{1993645161225} is an apocalyptic number.

1993645161225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1993645161225 is the 1411965-th square number.

1993645161225 is the 705983-rd centered octagonal number.

It is an amenable number.

1993645161225 is a deficient number, since it is larger than the sum of its proper divisors (1713193699278).

1993645161225 is an frugal number, since it uses more digits than its factorization.

1993645161225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20946 (or 10467 counting only the distinct ones).

The product of its digits is 3499200, while the sum is 54.

The spelling of 1993645161225 in words is "one trillion, nine hundred ninety-three billion, six hundred forty-five million, one hundred sixty-one thousand, two hundred twenty-five".