115524785917967 has 2 divisors, whose sum is σ = 115524785917968. Its totient is φ = 115524785917966.

The previous prime is 115524785917951. The next prime is 115524785918039. The reversal of 115524785917967 is 769719587425511.

It is a weak prime.

It is an emirp because it is prime and its reverse (769719587425511) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 115524785917967 - 2⁴ = 115524785917951 is a prime.

It is a super-3 number, since 3×115524785917967³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (115524785917367) 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, 57762392958983 + 57762392958984.

It is an arithmetic number, because the mean of its divisors is an integer number (57762392958984).

Almost surely, 2^{115524785917967} is an apocalyptic number.

115524785917967 is a deficient number, since it is larger than the sum of its proper divisors (1).

115524785917967 is an equidigital number, since it uses as much as digits as its factorization.

115524785917967 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1333584000, while the sum is 77.

The spelling of 115524785917967 in words is "one hundred fifteen trillion, five hundred twenty-four billion, seven hundred eighty-five million, nine hundred seventeen thousand, nine hundred sixty-seven".