2577453648025 has 27 divisors (see below), whose sum is σ = 3207360032319. Its totient is φ = 2054687041680.

The previous prime is 2577453648023. The next prime is 2577453648031. The reversal of 2577453648025 is 5208463547752.

The square root of 2577453648025 is 1605445.

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., 927883313289 + 1649570334736 = 963267^2 + 1284356^2 .

It is not a de Polignac number, because 2577453648025 - 2¹ = 2577453648023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2577453648023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4390891782 + ... + 4390892368.

Almost surely, 2^{2577453648025} is an apocalyptic number.

2577453648025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2577453648025 is the 1605445-th square number.

2577453648025 is the 802723-rd centered octagonal number.

It is an amenable number.

2577453648025 is a deficient number, since it is larger than the sum of its proper divisors (629906384294).

2577453648025 is an frugal number, since it uses more digits than its factorization.

2577453648025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2278 (or 1139 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 58.

The spelling of 2577453648025 in words is "two trillion, five hundred seventy-seven billion, four hundred fifty-three million, six hundred forty-eight thousand, twenty-five".