15339058413121 has 9 divisors (see below), whose sum is σ = 16294503021411. Its totient is φ = 14436698195232.

The previous prime is 15339058413103. The next prime is 15339058413139. The reversal of 15339058413121 is 12131485093351.

The square root of 15339058413121 is 3916511.

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

It is an interprime number because it is at equal distance from previous prime (15339058413103) and next prime (15339058413139).

It can be written as a sum of positive squares in only one way, i.e., 11942173505025 + 3396884908096 = 3455745^2 + 1843064^2 .

It is not a de Polignac number, because 15339058413121 - 2⁹ = 15339058412609 is a prime.

It is a super-2 number, since 2×15339058413121² (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 (15339058413191) 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, 66465496 + ... + 66695878.

Almost surely, 2^{15339058413121} is an apocalyptic number.

15339058413121 is the 3916511-st square number.

15339058413121 is the 1958256-th centered octagonal number.

It is an amenable number.

15339058413121 is a deficient number, since it is larger than the sum of its proper divisors (955444608290).

15339058413121 is an frugal number, since it uses more digits than its factorization.

15339058413121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460800 (or 230400 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 46.

The spelling of 15339058413121 in words is "fifteen trillion, three hundred thirty-nine billion, fifty-eight million, four hundred thirteen thousand, one hundred twenty-one".