25300505250257 has 8 divisors (see below), whose sum is σ = 26788839196392. Its totient is φ = 23812178963200.

The previous prime is 25300505250221. The next prime is 25300505250271. The reversal of 25300505250257 is 75205250500352.

It can be written as a sum of positive squares in 4 ways, for example, as 2023267277056 + 23277237973201 = 1422416^2 + 4824649^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 25300505250257 - 2⁶ = 25300505250193 is a prime.

It is not an unprimeable number, because it can be changed into a prime (25300505250277) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5766707 + ... + 9157287.

It is an arithmetic number, because the mean of its divisors is an integer number (3348604899549).

Almost surely, 2^{25300505250257} is an apocalyptic number.

It is an amenable number.

25300505250257 is a deficient number, since it is larger than the sum of its proper divisors (1488333946135).

25300505250257 is a wasteful number, since it uses less digits than its factorization.

25300505250257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3829539.

The product of its (nonzero) digits is 525000, while the sum is 41.

The spelling of 25300505250257 in words is "twenty-five trillion, three hundred billion, five hundred five million, two hundred fifty thousand, two hundred fifty-seven".