1993391015625 has 135 divisors (see below), whose sum is σ = 3737113809253. Its totient is φ = 1058906250000.

The previous prime is 1993391015599. The next prime is 1993391015719. The reversal of 1993391015625 is 5265101933991.

The square root of 1993391015625 is 1411875.

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

1993391015625 is a `hidden beast` number, since 1 + 9 + 9 + 3 + 3 + 9 + 1 + 0 + 1 + 5 + 625 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1417273583049 + 576117432576 = 1190493^2 + 759024^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 1993391015625 - 2³³ = 1984801081033 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7941796750 + ... + 7941797000.

Almost surely, 2^{1993391015625} is an apocalyptic number.

1993391015625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1993391015625 is the 1411875-th square number.

1993391015625 is the 705938-th centered octagonal number.

It is an amenable number.

1993391015625 is a deficient number, since it is larger than the sum of its proper divisors (1743722793628).

1993391015625 is an frugal number, since it uses more digits than its factorization.

1993391015625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 54.

The spelling of 1993391015625 in words is "one trillion, nine hundred ninety-three billion, three hundred ninety-one million, fifteen thousand, six hundred twenty-five".