6513710401 has 16 divisors (see below), whose sum is σ = 7261228800. Its totient is φ = 5792231680.

The previous prime is 6513710381. The next prime is 6513710417. The reversal of 6513710401 is 1040173156.

It is a cyclic number.

It is not a de Polignac number, because 6513710401 - 2¹⁵ = 6513677633 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 6513710401.

It is not an unprimeable number, because it can be changed into a prime (6513710501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1495575 + ... + 1499923.

It is an arithmetic number, because the mean of its divisors is an integer number (453826800).

Almost surely, 2^6513710401 is an apocalyptic number.

It is an amenable number.

6513710401 is a deficient number, since it is larger than the sum of its proper divisors (747518399).

6513710401 is a wasteful number, since it uses less digits than its factorization.

6513710401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7304.

The product of its (nonzero) digits is 2520, while the sum is 28.

The square root of 6513710401 is about 80707.5609902814. The cubic root of 6513710401 is about 1867.5668165197.

Adding to 6513710401 its reverse (1040173156), we get a palindrome (7553883557).

It can be divided in two parts, 65 and 13710401, that added together give a triangular number (13710466 = T₅₂₃₆).

The spelling of 6513710401 in words is "six billion, five hundred thirteen million, seven hundred ten thousand, four hundred one".