5582563935025 has 405 divisors, whose sum is σ = 9924802888497. Its totient is φ = 3102945753600.

The previous prime is 5582563934971. The next prime is 5582563935029. The reversal of 5582563935025 is 5205393652855.

The square root of 5582563935025 is 2362745.

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 130581772321 + 5451982162704 = 361361^2 + 2334948^2 .

It is not a de Polignac number, because 5582563935025 - 2⁹ = 5582563934513 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5582563935029) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 293819154466 + ... + 293819154484.

Almost surely, 2^{5582563935025} is an apocalyptic number.

5582563935025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5582563935025 is the 2362745-th square number.

5582563935025 is the 1181373-rd centered octagonal number.

It is an amenable number.

5582563935025 is a deficient number, since it is larger than the sum of its proper divisors (4342238953472).

5582563935025 is an equidigital number, since it uses as much as digits as its factorization.

5582563935025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 48600000, while the sum is 58.

The spelling of 5582563935025 in words is "five trillion, five hundred eighty-two billion, five hundred sixty-three million, nine hundred thirty-five thousand, twenty-five".