513253544173 has 2 divisors, whose sum is σ = 513253544174. Its totient is φ = 513253544172.

The previous prime is 513253544143. The next prime is 513253544179. The reversal of 513253544173 is 371445352315.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 497867126409 + 15386417764 = 705597^2 + 124042^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-513253544173 is a prime.

It is a super-2 number, since 2×513253544173² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (513253544179) 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 as a sum of consecutive naturals, namely, 256626772086 + 256626772087.

It is an arithmetic number, because the mean of its divisors is an integer number (256626772087).

Almost surely, 2^513253544173 is an apocalyptic number.

It is an amenable number.

513253544173 is a deficient number, since it is larger than the sum of its proper divisors (1).

513253544173 is an equidigital number, since it uses as much as digits as its factorization.

513253544173 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 756000, while the sum is 43.

Adding to 513253544173 its reverse (371445352315), we get a palindrome (884698896488).

The spelling of 513253544173 in words is "five hundred thirteen billion, two hundred fifty-three million, five hundred forty-four thousand, one hundred seventy-three".