15061128671689 has 27 divisors (see below), whose sum is σ = 15713809056309. Its totient is φ = 14434962423840.

The previous prime is 15061128671639. The next prime is 15061128671707. The reversal of 15061128671689 is 98617682116051.

The square root of 15061128671689 is 3880867.

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

It can be written as a sum of positive squares in 4 ways, for example, as 661835942089 + 14399292729600 = 813533^2 + 3794640^2 .

It is not a de Polignac number, because 15061128671689 - 2³³ = 15052538737097 is a prime.

It is a super-2 number, since 2×15061128671689² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15061128671609) 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 26 ways as a sum of consecutive naturals, for example, 18344857899 + ... + 18344858719.

Almost surely, 2^{15061128671689} is an apocalyptic number.

15061128671689 is the 3880867-th square number.

15061128671689 is the 1940434-th centered octagonal number.

It is an amenable number.

15061128671689 is a deficient number, since it is larger than the sum of its proper divisors (652680384620).

15061128671689 is an frugal number, since it uses more digits than its factorization.

15061128671689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 61.

The spelling of 15061128671689 in words is "fifteen trillion, sixty-one billion, one hundred twenty-eight million, six hundred seventy-one thousand, six hundred eighty-nine".