25617649754509 has 2 divisors, whose sum is σ = 25617649754510. Its totient is φ = 25617649754508.

The previous prime is 25617649754429. The next prime is 25617649754563. The reversal of 25617649754509 is 90545794671652.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13440362532100 + 12177287222409 = 3666110^2 + 3489597^2 .

It is a cyclic number.

It is not a de Polignac number, because 25617649754509 - 2¹³ = 25617649746317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (25717649754509) 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, 12808824877254 + 12808824877255.

It is an arithmetic number, because the mean of its divisors is an integer number (12808824877255).

Almost surely, 2^{25617649754509} is an apocalyptic number.

It is an amenable number.

25617649754509 is a deficient number, since it is larger than the sum of its proper divisors (1).

25617649754509 is an equidigital number, since it uses as much as digits as its factorization.

25617649754509 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 571536000, while the sum is 70.

The spelling of 25617649754509 in words is "twenty-five trillion, six hundred seventeen billion, six hundred forty-nine million, seven hundred fifty-four thousand, five hundred nine".