27513900025153 has 2 divisors, whose sum is σ = 27513900025154. Its totient is φ = 27513900025152.

The previous prime is 27513900025057. The next prime is 27513900025169. The reversal of 27513900025153 is 35152000931572.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 15467954116624 + 12045945908529 = 3932932^2 + 3470727^2 .

It is a cyclic number.

It is not a de Polignac number, because 27513900025153 - 2⁹ = 27513900024641 is a prime.

It is a super-2 number, since 2×27513900025153² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (27513900025853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13756950012576 + 13756950012577.

It is an arithmetic number, because the mean of its divisors is an integer number (13756950012577).

Almost surely, 2^{27513900025153} is an apocalyptic number.

It is an amenable number.

27513900025153 is a deficient number, since it is larger than the sum of its proper divisors (1).

27513900025153 is an equidigital number, since it uses as much as digits as its factorization.

27513900025153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 283500, while the sum is 43.

The spelling of 27513900025153 in words is "twenty-seven trillion, five hundred thirteen billion, nine hundred million, twenty-five thousand, one hundred fifty-three".