506164552193 has 2 divisors, whose sum is σ = 506164552194. Its totient is φ = 506164552192.

The previous prime is 506164552067. The next prime is 506164552199. The reversal of 506164552193 is 391255461605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 268456624384 + 237707927809 = 518128^2 + 487553^2 .

It is a cyclic number.

It is not a de Polignac number, because 506164552193 - 2²⁰ = 506163503617 is a prime.

It is a super-2 number, since 2×506164552193² (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (506164552199) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253082276096 + 253082276097.

It is an arithmetic number, because the mean of its divisors is an integer number (253082276097).

Almost surely, 2^506164552193 is an apocalyptic number.

It is an amenable number.

506164552193 is a deficient number, since it is larger than the sum of its proper divisors (1).

506164552193 is an equidigital number, since it uses as much as digits as its factorization.

506164552193 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 972000, while the sum is 47.

The spelling of 506164552193 in words is "five hundred six billion, one hundred sixty-four million, five hundred fifty-two thousand, one hundred ninety-three".