25050058025 has 48 divisors (see below), whose sum is σ = 33752058480. Its totient is φ = 18368102400.

The previous prime is 25050057953. The next prime is 25050058069. The reversal of 25050058025 is 52085005052.

It can be written as a sum of positive squares in 24 ways, for example, as 13945956649 + 11104101376 = 118093^2 + 105376^2 .

It is not a de Polignac number, because 25050058025 - 2¹⁴ = 25050041641 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 25050057982 and 25050058000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14095937 + ... + 14097713.

It is an arithmetic number, because the mean of its divisors is an integer number (703167885).

Almost surely, 2^25050058025 is an apocalyptic number.

25050058025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

25050058025 is a deficient number, since it is larger than the sum of its proper divisors (8702000455).

25050058025 is a wasteful number, since it uses less digits than its factorization.

25050058025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2649 counting only the distinct ones).

The product of its (nonzero) digits is 20000, while the sum is 32.

The spelling of 25050058025 in words is "twenty-five billion, fifty million, fifty-eight thousand, twenty-five".