2405312013 has 32 divisors (see below), whose sum is σ = 3487518720. Its totient is φ = 1465813440.

The previous prime is 2405312003. The next prime is 2405312033. The reversal of 2405312013 is 3102135042.

2405312013 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 2405312013 - 2¹⁰ = 2405310989 is a prime.

It is a super-2 number, since 2×2405312013² = 11571051759764224338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2405312003) 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, 1966120 + ... + 1967342.

It is an arithmetic number, because the mean of its divisors is an integer number (108984960).

Almost surely, 2^2405312013 is an apocalyptic number.

It is an amenable number.

2405312013 is a deficient number, since it is larger than the sum of its proper divisors (1082206707).

2405312013 is a wasteful number, since it uses less digits than its factorization.

2405312013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689.

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 2405312013 is about 49043.9803951515. The cubic root of 2405312013 is about 1339.8529602153.

Adding to 2405312013 its reverse (3102135042), we get a palindrome (5507447055).

The spelling of 2405312013 in words is "two billion, four hundred five million, three hundred twelve thousand, thirteen".