36258388385263 has 64 divisors (see below), whose sum is σ = 41882490270720. Its totient is φ = 31095938764800.

The previous prime is 36258388385231. The next prime is 36258388385281.

36258388385263 is nontrivially palindromic in base 10.

36258388385263 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 36258388385263 - 2⁵ = 36258388385231 is a prime.

It is a super-3 number, since 3×36258388385263³ (a number of 42 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36258388385192 and 36258388385201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36258388385203) 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 in 63 ways as a sum of consecutive naturals, for example, 1197856893 + ... + 1197887161.

It is an arithmetic number, because the mean of its divisors is an integer number (654413910480).

Almost surely, 2^{36258388385263} is an apocalyptic number.

36258388385263 is a deficient number, since it is larger than the sum of its proper divisors (5624101885457).

36258388385263 is a wasteful number, since it uses less digits than its factorization.

36258388385263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31120.

The product of its digits is 1194393600, while the sum is 70.

The spelling of 36258388385263 in words is "thirty-six trillion, two hundred fifty-eight billion, three hundred eighty-eight million, three hundred eighty-five thousand, two hundred sixty-three".