25275137625013 has 2 divisors, whose sum is σ = 25275137625014. Its totient is φ = 25275137625012.

The previous prime is 25275137624969. The next prime is 25275137625019. The reversal of 25275137625013 is 31052673157252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24439754420964 + 835383204049 = 4943658^2 + 913993^2 .

It is a cyclic number.

It is not a de Polignac number, because 25275137625013 - 2⁹ = 25275137624501 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (25275137625019) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12637568812506 + 12637568812507.

It is an arithmetic number, because the mean of its divisors is an integer number (12637568812507).

Almost surely, 2^{25275137625013} is an apocalyptic number.

It is an amenable number.

25275137625013 is a deficient number, since it is larger than the sum of its proper divisors (1).

25275137625013 is an equidigital number, since it uses as much as digits as its factorization.

25275137625013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646000, while the sum is 49.

The spelling of 25275137625013 in words is "twenty-five trillion, two hundred seventy-five billion, one hundred thirty-seven million, six hundred twenty-five thousand, thirteen".