25633412073025 has 27 divisors (see below), whose sum is σ = 31943443036323. Its totient is φ = 20405288492400.

The previous prime is 25633412073023. The next prime is 25633412073067. The reversal of 25633412073025 is 52037021433652.

The square root of 25633412073025 is 5062945.

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., 9228028346289 + 16405383726736 = 3037767^2 + 4050356^2 .

It is not a de Polignac number, because 25633412073025 - 2¹ = 25633412073023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25633412073023) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5341404576 + ... + 5341409374.

Almost surely, 2^{25633412073025} is an apocalyptic number.

25633412073025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25633412073025 is the 5062945-th square number.

25633412073025 is the 2531473-rd centered octagonal number.

It is an amenable number.

25633412073025 is a deficient number, since it is larger than the sum of its proper divisors (6310030963298).

25633412073025 is an frugal number, since it uses more digits than its factorization.

25633412073025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10030 (or 5015 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 43.

The spelling of 25633412073025 in words is "twenty-five trillion, six hundred thirty-three billion, four hundred twelve million, seventy-three thousand, twenty-five".