15312875969889 has 9 divisors (see below), whose sum is σ = 22118615580243. Its totient is φ = 10208576153592.

The previous prime is 15312875969879. The next prime is 15312875969891. The reversal of 15312875969889 is 98896957821351.

The square root of 15312875969889 is 3913167.

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

15312875969889 is a `hidden beast` number, since 1 + 5 + 3 + 12 + 8 + 7 + 596 + 9 + 8 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 15302312241489 + 10563728400 = 3911817^2 + 102780^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 15312875969889 - 2²⁵ = 15312842415457 is a prime.

It is a super-3 number, since 3×15312875969889³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (15312875969849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11087307 + ... + 12391695.

Almost surely, 2^{15312875969889} is an apocalyptic number.

15312875969889 is the 3913167-th square number.

15312875969889 is the 1956584-th centered octagonal number.

It is an amenable number.

15312875969889 is a deficient number, since it is larger than the sum of its proper divisors (6805739610354).

15312875969889 is an frugal number, since it uses more digits than its factorization.

15312875969889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2608784 (or 1304392 counting only the distinct ones).

The product of its digits is 2351462400, while the sum is 81.

The spelling of 15312875969889 in words is "fifteen trillion, three hundred twelve billion, eight hundred seventy-five million, nine hundred sixty-nine thousand, eight hundred eighty-nine".