25252853758337 has 2 divisors, whose sum is σ = 25252853758338. Its totient is φ = 25252853758336.

The previous prime is 25252853758259. The next prime is 25252853758381. The reversal of 25252853758337 is 73385735825252.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19596062441536 + 5656791316801 = 4426744^2 + 2378401^2 .

It is a cyclic number.

It is not a de Polignac number, because 25252853758337 - 2⁸ = 25252853758081 is a prime.

It is not a weakly prime, because it can be changed into another prime (25252853758837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12626426879168 + 12626426879169.

It is an arithmetic number, because the mean of its divisors is an integer number (12626426879169).

Almost surely, 2^{25252853758337} is an apocalyptic number.

It is an amenable number.

25252853758337 is a deficient number, since it is larger than the sum of its proper divisors (1).

25252853758337 is an equidigital number, since it uses as much as digits as its factorization.

25252853758337 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 423360000, while the sum is 65.

The spelling of 25252853758337 in words is "twenty-five trillion, two hundred fifty-two billion, eight hundred fifty-three million, seven hundred fifty-eight thousand, three hundred thirty-seven".