1993115825 has 12 divisors (see below), whose sum is σ = 2484275148. Its totient is φ = 1586227200.

The previous prime is 1993115801. The next prime is 1993115837. The reversal of 1993115825 is 5285113991.

It can be written as a sum of positive squares in 6 ways, for example, as 1100401 + 1992015424 = 1049^2 + 44632^2 .

It is not a de Polignac number, because 1993115825 - 2¹⁴ = 1993099441 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201716 + ... + 211365.

It is an arithmetic number, because the mean of its divisors is an integer number (207022929).

Almost surely, 2^1993115825 is an apocalyptic number.

It is an amenable number.

1993115825 is a deficient number, since it is larger than the sum of its proper divisors (491159323).

1993115825 is a wasteful number, since it uses less digits than its factorization.

1993115825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 413284 (or 413279 counting only the distinct ones).

The product of its digits is 97200, while the sum is 44.

The square root of 1993115825 is about 44644.3257872711. The cubic root of 1993115825 is about 1258.4738019389.

The spelling of 1993115825 in words is "one billion, nine hundred ninety-three million, one hundred fifteen thousand, eight hundred twenty-five".