513534514401 has 6 divisors (see below), whose sum is σ = 741772076370. Its totient is φ = 342356342928.

The previous prime is 513534514399. The next prime is 513534514429. The reversal of 513534514401 is 104415435315.

513534514401 is a `hidden beast` number, since 5 + 135 + 3 + 4 + 514 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 340664832225 + 172869682176 = 583665^2 + 415776^2 .

It is not a de Polignac number, because 513534514401 - 2¹ = 513534514399 is a prime.

It is not an unprimeable number, because it can be changed into a prime (513534514301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28529695236 + ... + 28529695253.

It is an arithmetic number, because the mean of its divisors is an integer number (123628679395).

Almost surely, 2^513534514401 is an apocalyptic number.

It is an amenable number.

513534514401 is a deficient number, since it is larger than the sum of its proper divisors (228237561969).

513534514401 is a wasteful number, since it uses less digits than its factorization.

513534514401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57059390495 (or 57059390492 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 513534514401 its reverse (104415435315), we get a palindrome (617949949716).

The spelling of 513534514401 in words is "five hundred thirteen billion, five hundred thirty-four million, five hundred fourteen thousand, four hundred one".