15299042137201 has 9 divisors (see below), whose sum is σ = 15402996145803. Its totient is φ = 15195785115000.

The previous prime is 15299042137189. The next prime is 15299042137217. The reversal of 15299042137201 is 10273124099251.

The square root of 15299042137201 is 3911399.

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

It can be written as a sum of positive squares in only one way, i.e., 1792388117601 + 13506654019600 = 1338801^2 + 3675140^2 .

It is a de Polignac number, because none of the positive numbers 2^k-15299042137201 is a prime.

It is a super-2 number, since 2×15299042137201² (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 (15299042137271) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 582785326 + ... + 582811576.

Almost surely, 2^{15299042137201} is an apocalyptic number.

15299042137201 is the 3911399-th square number.

15299042137201 is the 1955700-th centered octagonal number.

It is an amenable number.

15299042137201 is a deficient number, since it is larger than the sum of its proper divisors (103954008602).

15299042137201 is an frugal number, since it uses more digits than its factorization.

15299042137201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52800 (or 26400 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 15299042137201 in words is "fifteen trillion, two hundred ninety-nine billion, forty-two million, one hundred thirty-seven thousand, two hundred one".