15160985351521 has 27 divisors (see below), whose sum is σ = 15515874627673. Its totient is φ = 14814168619040.

The previous prime is 15160985351471. The next prime is 15160985351527. The reversal of 15160985351521 is 12515358906151.

The square root of 15160985351521 is 3893711.

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 66827937121 + 15094157414400 = 258511^2 + 3885120^2 .

It is not a de Polignac number, because 15160985351521 - 2⁹ = 15160985351009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15160985351527) 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, 47826452055 + ... + 47826452371.

Almost surely, 2^{15160985351521} is an apocalyptic number.

15160985351521 is the 3893711-st square number.

15160985351521 is the 1946856-th centered octagonal number.

It is an amenable number.

15160985351521 is a deficient number, since it is larger than the sum of its proper divisors (354889276152).

15160985351521 is an frugal number, since it uses more digits than its factorization.

15160985351521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1122 (or 561 counting only the distinct ones).

The product of its (nonzero) digits is 1620000, while the sum is 52.

The spelling of 15160985351521 in words is "fifteen trillion, one hundred sixty billion, nine hundred eighty-five million, three hundred fifty-one thousand, five hundred twenty-one".