25137652563761 has 2 divisors, whose sum is σ = 25137652563762. Its totient is φ = 25137652563760.

The previous prime is 25137652563733. The next prime is 25137652563833. The reversal of 25137652563761 is 16736525673152.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15185167144225 + 9952485419536 = 3896815^2 + 3154756^2 .

It is a cyclic number.

It is not a de Polignac number, because 25137652563761 - 2¹⁸ = 25137652301617 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 25137652563761.

It is not a weakly prime, because it can be changed into another prime (25137652563731) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12568826281880 + 12568826281881.

It is an arithmetic number, because the mean of its divisors is an integer number (12568826281881).

Almost surely, 2^{25137652563761} is an apocalyptic number.

It is an amenable number.

25137652563761 is a deficient number, since it is larger than the sum of its proper divisors (1).

25137652563761 is an equidigital number, since it uses as much as digits as its factorization.

25137652563761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 47628000, while the sum is 59.

The spelling of 25137652563761 in words is "twenty-five trillion, one hundred thirty-seven billion, six hundred fifty-two million, five hundred sixty-three thousand, seven hundred sixty-one".