25958126025 has 192 divisors, whose sum is σ = 54911485440. Its totient is φ = 11921817600.

The previous prime is 25958126009. The next prime is 25958126027. The reversal of 25958126025 is 52062185952.

25958126025 is a `hidden beast` number, since 2 + 5 + 9 + 581 + 2 + 60 + 2 + 5 = 666.

It is not a de Polignac number, because 25958126025 - 2⁴ = 25958126009 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (25958126027) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8273257 + ... + 8276393.

It is an arithmetic number, because the mean of its divisors is an integer number (285997320).

Almost surely, 2^25958126025 is an apocalyptic number.

25958126025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25958126025 is an abundant number, since it is smaller than the sum of its proper divisors (28953359415).

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

25958126025 is a wasteful number, since it uses less digits than its factorization.

25958126025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3233 (or 3222 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 25958126025 in words is "twenty-five billion, nine hundred fifty-eight million, one hundred twenty-six thousand, twenty-five".