25167663682753 has 2 divisors, whose sum is σ = 25167663682754. Its totient is φ = 25167663682752.

The previous prime is 25167663682729. The next prime is 25167663682789. The reversal of 25167663682753 is 35728636676152.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 12849192268929 + 12318471413824 = 3584577^2 + 3509768^2 .

It is a cyclic number.

It is not a de Polignac number, because 25167663682753 - 2¹³ = 25167663674561 is a prime.

It is a super-3 number, since 3×25167663682753³ (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (25167663683753) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12583831841376 + 12583831841377.

It is an arithmetic number, because the mean of its divisors is an integer number (12583831841377).

Almost surely, 2^{25167663682753} is an apocalyptic number.

It is an amenable number.

25167663682753 is a deficient number, since it is larger than the sum of its proper divisors (1).

25167663682753 is an equidigital number, since it uses as much as digits as its factorization.

25167663682753 is an evil number, because the sum of its binary digits is even.

The product of its digits is 457228800, while the sum is 67.

The spelling of 25167663682753 in words is "twenty-five trillion, one hundred sixty-seven billion, six hundred sixty-three million, six hundred eighty-two thousand, seven hundred fifty-three".