25735236013 has 2 divisors, whose sum is σ = 25735236014. Its totient is φ = 25735236012.

The previous prime is 25735235983. The next prime is 25735236041. The reversal of 25735236013 is 31063253752.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20495358244 + 5239877769 = 143162^2 + 72387^2 .

It is a cyclic number.

It is not a de Polignac number, because 25735236013 - 2²⁵ = 25701681581 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (25735236313) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12867618006 + 12867618007.

It is an arithmetic number, because the mean of its divisors is an integer number (12867618007).

Almost surely, 2^25735236013 is an apocalyptic number.

It is an amenable number.

25735236013 is a deficient number, since it is larger than the sum of its proper divisors (1).

25735236013 is an equidigital number, since it uses as much as digits as its factorization.

25735236013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 113400, while the sum is 37.

Adding to 25735236013 its reverse (31063253752), we get a palindrome (56798489765).

The spelling of 25735236013 in words is "twenty-five billion, seven hundred thirty-five million, two hundred thirty-six thousand, thirteen".