15141242880625 has 45 divisors (see below), whose sum is σ = 19019106789991. Its totient is φ = 12050190740000.

The previous prime is 15141242880593. The next prime is 15141242880641. The reversal of 15141242880625 is 52608824214151.

The square root of 15141242880625 is 3891175.

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

It can be written as a sum of positive squares in 7 ways, for example, as 15110689239009 + 30553641616 = 3887247^2 + 174796^2 .

It is not a de Polignac number, because 15141242880625 - 2⁵ = 15141242880593 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 30837561630 + ... + 30837562120.

Almost surely, 2^{15141242880625} is an apocalyptic number.

15141242880625 is the 3891175-th square number.

15141242880625 is the 1945588-th centered octagonal number.

It is an amenable number.

15141242880625 is a deficient number, since it is larger than the sum of its proper divisors (3877863909366).

15141242880625 is an frugal number, since it uses more digits than its factorization.

15141242880625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1636 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 49.

Multiplying 15141242880625 by its sum of digits (49), we get a square (741920901150625 = 27238225²).

The spelling of 15141242880625 in words is "fifteen trillion, one hundred forty-one billion, two hundred forty-two million, eight hundred eighty thousand, six hundred twenty-five".