1993312564 has 12 divisors (see below), whose sum is σ = 3608583300. Its totient is φ = 962288768.

The previous prime is 1993312537. The next prime is 1993312567. The reversal of 1993312564 is 4652133991.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1700902564 + 292410000 = 41242^2 + 17100^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1993312564.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1993312567) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 8591749 + ... + 8591980.

It is an arithmetic number, because the mean of its divisors is an integer number (300715275).

Almost surely, 2^1993312564 is an apocalyptic number.

It is an amenable number.

1993312564 is a deficient number, since it is larger than the sum of its proper divisors (1615270736).

1993312564 is a wasteful number, since it uses less digits than its factorization.

1993312564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17183762 (or 17183760 counting only the distinct ones).

The product of its digits is 174960, while the sum is 43.

The square root of 1993312564 is about 44646.5291372129. The cubic root of 1993312564 is about 1258.5152082516.

The spelling of 1993312564 in words is "one billion, nine hundred ninety-three million, three hundred twelve thousand, five hundred sixty-four".