15240130707321 has 81 divisors (see below), whose sum is σ = 24638501997837. Its totient is φ = 9073197581760.

The previous prime is 15240130707313. The next prime is 15240130707331. The reversal of 15240130707321 is 12370703104251.

The square root of 15240130707321 is 3903861.

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

15240130707321 is a `hidden beast` number, since 1 + 5 + 24 + 0 + 1 + 307 + 0 + 7 + 321 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4794720399225 + 10445410308096 = 2189685^2 + 3231936^2 .

It is not a de Polignac number, because 15240130707321 - 2³ = 15240130707313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (15240130707331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4719766335 + ... + 4719769563.

Almost surely, 2^{15240130707321} is an apocalyptic number.

15240130707321 is the 3903861-st square number.

15240130707321 is the 1951931-st centered octagonal number.

It is an amenable number.

15240130707321 is a deficient number, since it is larger than the sum of its proper divisors (9398371290516).

15240130707321 is an frugal number, since it uses more digits than its factorization.

15240130707321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6552 (or 3276 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

Multiplying 15240130707321 by its sum of digits (36), we get a square (548644705463556 = 23423166²).

The spelling of 15240130707321 in words is "fifteen trillion, two hundred forty billion, one hundred thirty million, seven hundred seven thousand, three hundred twenty-one".