2500253909201 has 2 divisors, whose sum is σ = 2500253909202. Its totient is φ = 2500253909200.

The previous prime is 2500253909177. The next prime is 2500253909213. The reversal of 2500253909201 is 1029093520052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1645370598400 + 854883310801 = 1282720^2 + 924599^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2500253909201 is a prime.

It is a super-2 number, since 2×2500253909201² (a number of 26 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (2500253909401) by changing a digit.

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 as a sum of consecutive naturals, namely, 1250126954600 + 1250126954601.

It is an arithmetic number, because the mean of its divisors is an integer number (1250126954601).

Almost surely, 2^{2500253909201} is an apocalyptic number.

It is an amenable number.

2500253909201 is a deficient number, since it is larger than the sum of its proper divisors (1).

2500253909201 is an equidigital number, since it uses as much as digits as its factorization.

2500253909201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48600, while the sum is 38.

The spelling of 2500253909201 in words is "two trillion, five hundred billion, two hundred fifty-three million, nine hundred nine thousand, two hundred one".