25858248025 has 27 divisors (see below), whose sum is σ = 33237987991. Its totient is φ = 19955257280.

The previous prime is 25858248011. The next prime is 25858248029. The reversal of 25858248025 is 52084285852.

The square root of 25858248025 is 160805.

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

It can be written as a sum of positive squares in 13 ways, for example, as 25855675209 + 2572816 = 160797^2 + 1604^2 .

It is not a de Polignac number, because 25858248025 - 2⁵ = 25858247993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 25858248025.

It is not an unprimeable number, because it can be changed into a prime (25858248029) 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, 23316171 + ... + 23317279.

Almost surely, 2^25858248025 is an apocalyptic number.

25858248025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

25858248025 is the 160805-th square number.

25858248025 is the 80403-rd centered octagonal number.

It is an amenable number.

25858248025 is a deficient number, since it is larger than the sum of its proper divisors (7379739966).

25858248025 is an frugal number, since it uses more digits than its factorization.

25858248025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2286 (or 1143 counting only the distinct ones).

The product of its (nonzero) digits is 2048000, while the sum is 49.

Multiplying 25858248025 by its sum of digits (49), we get a square (1267054153225 = 1125635²).

The spelling of 25858248025 in words is "twenty-five billion, eight hundred fifty-eight million, two hundred forty-eight thousand, twenty-five".