15382044780025 has 243 divisors, whose sum is σ = 24943980820941. Its totient is φ = 9375136848000.

The previous prime is 15382044779987. The next prime is 15382044780071. The reversal of 15382044780025 is 52008744028351.

The square root of 15382044780025 is 3921995.

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

It can be written as a sum of positive squares in 4 ways, for example, as 7085248446969 + 8296796333056 = 2661813^2 + 2880416^2 .

It is not a de Polignac number, because 15382044780025 - 2⁷ = 15382044779897 is a prime.

It is a super-2 number, since 2×15382044780025² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 92108052492 + ... + 92108052658.

Almost surely, 2^{15382044780025} is an apocalyptic number.

15382044780025 is the 3921995-th square number.

15382044780025 is the 1960998-th centered octagonal number.

It is an amenable number.

15382044780025 is a deficient number, since it is larger than the sum of its proper divisors (9561936040916).

15382044780025 is an equidigital number, since it uses as much as digits as its factorization.

15382044780025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 502 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 49.

Multiplying 15382044780025 by its sum of digits (49), we get a square (753720194221225 = 27453965²).

15382044780025 divided by its sum of digits (49) gives a square (313919281225 = 560285²).

The spelling of 15382044780025 in words is "fifteen trillion, three hundred eighty-two billion, forty-four million, seven hundred eighty thousand, twenty-five".