83013812136253 has 2 divisors, whose sum is σ = 83013812136254. Its totient is φ = 83013812136252.

The previous prime is 83013812136139. The next prime is 83013812136259. The reversal of 83013812136253 is 35263121831038.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 82511298446329 + 502513689924 = 9083573^2 + 708882^2 .

It is a cyclic number.

It is not a de Polignac number, because 83013812136253 - 2²⁹ = 83013275265341 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (83013812136259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 41506906068126 + 41506906068127.

It is an arithmetic number, because the mean of its divisors is an integer number (41506906068127).

Almost surely, 2^{83013812136253} is an apocalyptic number.

It is an amenable number.

83013812136253 is a deficient number, since it is larger than the sum of its proper divisors (1).

83013812136253 is an equidigital number, since it uses as much as digits as its factorization.

83013812136253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 83013812136253 in words is "eighty-three trillion, thirteen billion, eight hundred twelve million, one hundred thirty-six thousand, two hundred fifty-three".