513054500053 has 16 divisors (see below), whose sum is σ = 535143877632. Its totient is φ = 491318496000.

The previous prime is 513054500029. The next prime is 513054500059. The reversal of 513054500053 is 350005450315.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513054500053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 513054499988 and 513054500024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (513054500059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4286643 + ... + 4404703.

It is an arithmetic number, because the mean of its divisors is an integer number (33446492352).

Almost surely, 2^513054500053 is an apocalyptic number.

It is an amenable number.

513054500053 is a deficient number, since it is larger than the sum of its proper divisors (22089377579).

513054500053 is a wasteful number, since it uses less digits than its factorization.

513054500053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119556.

The product of its (nonzero) digits is 22500, while the sum is 31.

Adding to 513054500053 its reverse (350005450315), we get a palindrome (863059950368).

The spelling of 513054500053 in words is "five hundred thirteen billion, fifty-four million, five hundred thousand, fifty-three".