506470362311033 has 2 divisors, whose sum is σ = 506470362311034. Its totient is φ = 506470362311032.

The previous prime is 506470362310999. The next prime is 506470362311051. The reversal of 506470362311033 is 330113263074605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 506402651505664 + 67710805369 = 22503392^2 + 260213^2 .

It is a cyclic number.

It is not a de Polignac number, because 506470362311033 - 2²⁶ = 506470295202169 is a prime.

It is not a weakly prime, because it can be changed into another prime (506470362311083) 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 as a sum of consecutive naturals, namely, 253235181155516 + 253235181155517.

It is an arithmetic number, because the mean of its divisors is an integer number (253235181155517).

Almost surely, 2^{506470362311033} is an apocalyptic number.

It is an amenable number.

506470362311033 is a deficient number, since it is larger than the sum of its proper divisors (1).

506470362311033 is an equidigital number, since it uses as much as digits as its factorization.

506470362311033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 816480, while the sum is 44.

The spelling of 506470362311033 in words is "five hundred six trillion, four hundred seventy billion, three hundred sixty-two million, three hundred eleven thousand, thirty-three".