4013313520505 has 32 divisors (see below), whose sum is σ = 5085066470400. Its totient is φ = 3032311161600.

The previous prime is 4013313520501. The next prime is 4013313520507. The reversal of 4013313520505 is 5050253133104.

4013313520505 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4013313520505 - 2² = 4013313520501 is a prime.

It is a super-2 number, since 2×4013313520505² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4013313520501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46417415 + ... + 46503795.

It is an arithmetic number, because the mean of its divisors is an integer number (158908327200).

Almost surely, 2^{4013313520505} is an apocalyptic number.

It is an amenable number.

4013313520505 is a deficient number, since it is larger than the sum of its proper divisors (1071752949895).

4013313520505 is a wasteful number, since it uses less digits than its factorization.

4013313520505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87905.

The product of its (nonzero) digits is 27000, while the sum is 32.

Adding to 4013313520505 its reverse (5050253133104), we get a palindrome (9063566653609).

The spelling of 4013313520505 in words is "four trillion, thirteen billion, three hundred thirteen million, five hundred twenty thousand, five hundred five".