15038362161 has 27 divisors (see below), whose sum is σ = 22287161793. Its totient is φ = 9771238080.

The previous prime is 15038362133. The next prime is 15038362169. The reversal of 15038362161 is 16126383051.

The square root of 15038362161 is 122631.

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

15038362161 is a `hidden beast` number, since 1 + 503 + 83 + 62 + 16 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 386712225 + 14651649936 = 19665^2 + 121044^2 .

It is not a de Polignac number, because 15038362161 - 2³¹ = 12890878513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (15038362169) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 15083115 + ... + 15084111.

Almost surely, 2^15038362161 is an apocalyptic number.

15038362161 is the 122631-st square number.

15038362161 is the 61316-th centered octagonal number.

It is an amenable number.

15038362161 is a deficient number, since it is larger than the sum of its proper divisors (7248799632).

15038362161 is an frugal number, since it uses more digits than its factorization.

15038362161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2082 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Multiplying 15038362161 by its sum of digits (36), we get a square (541381037796 = 735786²).

It can be divided in two parts, 1503 and 8362161, that added together give a square (8363664 = 2892²).

The spelling of 15038362161 in words is "fifteen billion, thirty-eight million, three hundred sixty-two thousand, one hundred sixty-one".