25042568105025 has 243 divisors, whose sum is σ = 47020497388137. Its totient is φ = 12740432889600.

The previous prime is 25042568104987. The next prime is 25042568105039. The reversal of 25042568105025 is 52050186524052.

The square root of 25042568105025 is 5004255.

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

25042568105025 is a `hidden beast` number, since 2 + 5 + 0 + 4 + 2 + 568 + 10 + 50 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10540820635569 + 14501747469456 = 3246663^2 + 3808116^2 .

It is not a de Polignac number, because 25042568105025 - 2⁹ = 25042568104513 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 242 ways as a sum of consecutive naturals, for example, 243131729124 + ... + 243131729226.

Almost surely, 2^{25042568105025} is an apocalyptic number.

25042568105025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25042568105025 is the 5004255-th square number.

25042568105025 is the 2502128-th centered octagonal number.

It is an amenable number.

25042568105025 is a deficient number, since it is larger than the sum of its proper divisors (21977929283112).

25042568105025 is an equidigital number, since it uses as much as digits as its factorization.

25042568105025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 25042568105025 in words is "twenty-five trillion, forty-two billion, five hundred sixty-eight million, one hundred five thousand, twenty-five".