263005180013 has 16 divisors (see below), whose sum is σ = 264581553600. Its totient is φ = 261435525120.

The previous prime is 263005179989. The next prime is 263005180027. The reversal of 263005180013 is 310081500362.

263005180013 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 a de Polignac number, because none of the positive numbers 2^k-263005180013 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263005180513) 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 in 15 ways as a sum of consecutive naturals, for example, 237154703 + ... + 237155811.

It is an arithmetic number, because the mean of its divisors is an integer number (16536347100).

Almost surely, 2^263005180013 is an apocalyptic number.

It is an amenable number.

263005180013 is a deficient number, since it is larger than the sum of its proper divisors (1576373587).

263005180013 is a wasteful number, since it uses less digits than its factorization.

263005180013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052.

The product of its (nonzero) digits is 4320, while the sum is 29.

Adding to 263005180013 its reverse (310081500362), we get a palindrome (573086680375).

The spelling of 263005180013 in words is "two hundred sixty-three billion, five million, one hundred eighty thousand, thirteen".