27131935253 has 2 divisors, whose sum is σ = 27131935254. Its totient is φ = 27131935252.

The previous prime is 27131935223. The next prime is 27131935291. The reversal of 27131935253 is 35253913172.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 24179317009 + 2952618244 = 155497^2 + 54338^2 .

It is a cyclic number.

It is not a de Polignac number, because 27131935253 - 2⁶ = 27131935189 is a prime.

It is a super-2 number, since 2×27131935253² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 27131935253.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (27131935223) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13565967626 + 13565967627.

It is an arithmetic number, because the mean of its divisors is an integer number (13565967627).

Almost surely, 2^27131935253 is an apocalyptic number.

It is an amenable number.

27131935253 is a deficient number, since it is larger than the sum of its proper divisors (1).

27131935253 is an equidigital number, since it uses as much as digits as its factorization.

27131935253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 170100, while the sum is 41.

The spelling of 27131935253 in words is "twenty-seven billion, one hundred thirty-one million, nine hundred thirty-five thousand, two hundred fifty-three".