513420444013 has 8 divisors (see below), whose sum is σ = 543651151032. Its totient is φ = 483193015296.

The previous prime is 513420444007. The next prime is 513420444037. The reversal of 513420444013 is 310444024315.

It can be written as a sum of positive squares in 4 ways, for example, as 96101860009 + 417318584004 = 310003^2 + 646002^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 513420444013 - 2¹⁷ = 513420312941 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 (513420444073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 493420 + ... + 1127077.

It is an arithmetic number, because the mean of its divisors is an integer number (67956393879).

Almost surely, 2^513420444013 is an apocalyptic number.

It is an amenable number.

513420444013 is a deficient number, since it is larger than the sum of its proper divisors (30230707019).

513420444013 is a wasteful number, since it uses less digits than its factorization.

513420444013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1639151.

The product of its (nonzero) digits is 23040, while the sum is 31.

Adding to 513420444013 its reverse (310444024315), we get a palindrome (823864468328).

The spelling of 513420444013 in words is "five hundred thirteen billion, four hundred twenty million, four hundred forty-four thousand, thirteen".