653313313356 has 48 divisors (see below), whose sum is σ = 1667510745600. Its totient is φ = 197434278720.

The previous prime is 653313313327. The next prime is 653313313379.

653313313356 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6694531 + ... + 6791418.

It is an arithmetic number, because the mean of its divisors is an integer number (34739807200).

Almost surely, 2^653313313356 is an apocalyptic number.

653313313356 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

653313313356 is an abundant number, since it is smaller than the sum of its proper divisors (1014197432244).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

653313313356 is a wasteful number, since it uses less digits than its factorization.

653313313356 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13486334 (or 13486332 counting only the distinct ones).

The product of its digits is 656100, while the sum is 42.

It can be divided in two parts, 653313 and 313356, that added together give a palindrome (966669).

The spelling of 653313313356 in words is "six hundred fifty-three billion, three hundred thirteen million, three hundred thirteen thousand, three hundred fifty-six".