115505120502253 has 2 divisors, whose sum is σ = 115505120502254. Its totient is φ = 115505120502252.

The previous prime is 115505120502217. The next prime is 115505120502259. The reversal of 115505120502253 is 352205021505511.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 115470111472804 + 35009029449 = 10745702^2 + 187107^2 .

It is a cyclic number.

It is not a de Polignac number, because 115505120502253 - 2³⁷ = 115367681548781 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (115505120502259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 57752560251126 + 57752560251127.

It is an arithmetic number, because the mean of its divisors is an integer number (57752560251127).

Almost surely, 2^{115505120502253} is an apocalyptic number.

It is an amenable number.

115505120502253 is a deficient number, since it is larger than the sum of its proper divisors (1).

115505120502253 is an equidigital number, since it uses as much as digits as its factorization.

115505120502253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75000, while the sum is 37.

The spelling of 115505120502253 in words is "one hundred fifteen trillion, five hundred five billion, one hundred twenty million, five hundred two thousand, two hundred fifty-three".