993349125 has 48 divisors (see below), whose sum is σ = 1794901680. Its totient is φ = 528537600.

The previous prime is 993349111. The next prime is 993349141. The reversal of 993349125 is 521943399.

993349125 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 412008804 + 581340321 = 20298^2 + 24111^2 .

It is not a de Polignac number, because 993349125 - 2¹² = 993345029 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 666381 + ... + 667869.

It is an arithmetic number, because the mean of its divisors is an integer number (37393785).

Almost surely, 2^993349125 is an apocalyptic number.

It is an amenable number.

993349125 is a deficient number, since it is larger than the sum of its proper divisors (801552555).

993349125 is a wasteful number, since it uses less digits than its factorization.

993349125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2103 (or 2090 counting only the distinct ones).

The product of its digits is 262440, while the sum is 45.

The square root of 993349125 is about 31517.4415998507. The cubic root of 993349125 is about 997.7781085213.

The spelling of 993349125 in words is "nine hundred ninety-three million, three hundred forty-nine thousand, one hundred twenty-five".