2505250525249 has 2 divisors, whose sum is σ = 2505250525250. Its totient is φ = 2505250525248.

The previous prime is 2505250525213. The next prime is 2505250525279. The reversal of 2505250525249 is 9425250525052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1338202435249 + 1167048090000 = 1156807^2 + 1080300^2 .

It is a cyclic number.

It is not a de Polignac number, because 2505250525249 - 2³¹ = 2503103041601 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2505250525199 and 2505250525208.

It is not a weakly prime, because it can be changed into another prime (2505250525279) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1252625262624 + 1252625262625.

It is an arithmetic number, because the mean of its divisors is an integer number (1252625262625).

Almost surely, 2^{2505250525249} is an apocalyptic number.

It is an amenable number.

2505250525249 is a deficient number, since it is larger than the sum of its proper divisors (1).

2505250525249 is an equidigital number, since it uses as much as digits as its factorization.

2505250525249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1800000, while the sum is 46.

The spelling of 2505250525249 in words is "two trillion, five hundred five billion, two hundred fifty million, five hundred twenty-five thousand, two hundred forty-nine".