2547583093225 has 9 divisors (see below), whose sum is σ = 3159012931543. Its totient is φ = 2038060090120.

The previous prime is 2547583093171. The next prime is 2547583093267. The reversal of 2547583093225 is 5223903857452.

The square root of 2547583093225 is 1596115.

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., 917129913561 + 1630453179664 = 957669^2 + 1276892^2 .

It is a de Polignac number, because none of the positive numbers 2^k-2547583093225 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 7820964 + ... + 8140186.

Almost surely, 2^{2547583093225} is an apocalyptic number.

2547583093225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2547583093225 is the 1596115-th square number.

2547583093225 is the 798058-th centered octagonal number.

It is an amenable number.

2547583093225 is a deficient number, since it is larger than the sum of its proper divisors (611429838318).

2547583093225 is an frugal number, since it uses more digits than its factorization.

2547583093225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 638456 (or 319228 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 55.

The spelling of 2547583093225 in words is "two trillion, five hundred forty-seven billion, five hundred eighty-three million, ninety-three thousand, two hundred twenty-five".