25872024467025 has 243 divisors, whose sum is σ = 52801969095057. Its totient is φ = 12100066070400.

The previous prime is 25872024467011. The next prime is 25872024467027. The reversal of 25872024467025 is 52076442027852.

25872024467025 = 1³ + 2³ + ... + 3189³.

The square root of 25872024467025 is 5086455.

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

25872024467025 is a `hidden beast` number, since 258 + 72 + 0 + 244 + 67 + 0 + 25 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 355624973649 + 25516399493376 = 596343^2 + 5051376^2 .

It is not a de Polignac number, because 25872024467025 - 2¹⁵ = 25872024434257 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25872024467027) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 24338686644 + ... + 24338687706.

Almost surely, 2^{25872024467025} is an apocalyptic number.

25872024467025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25872024467025 is the 5086455-th square number.

25872024467025 is the 2543228-th centered octagonal number.

It is an amenable number.

25872024467025 is an abundant number, since it is smaller than the sum of its proper divisors (26929944628032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

25872024467025 is a wasteful number, since it uses less digits than its factorization.

25872024467025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2222 (or 1111 counting only the distinct ones).

The product of its (nonzero) digits is 15052800, while the sum is 54.

The spelling of 25872024467025 in words is "twenty-five trillion, eight hundred seventy-two billion, twenty-four million, four hundred sixty-seven thousand, twenty-five".