506222306361 has 24 divisors (see below), whose sum is σ = 749278125960. Its totient is φ = 329147539200.

The previous prime is 506222306341. The next prime is 506222306383. The reversal of 506222306361 is 163603222605.

506222306361 is a `hidden beast` number, since 5 + 0 + 62 + 2 + 230 + 6 + 361 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 32508090000 + 473714216361 = 180300^2 + 688269^2 .

It is a de Polignac number, because none of the positive numbers 2^k-506222306361 is a prime.

It is a super-2 number, since 2×506222306361² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (506222306321) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 979071 + ... + 1403931.

It is an arithmetic number, because the mean of its divisors is an integer number (31219921915).

Almost surely, 2^506222306361 is an apocalyptic number.

It is an amenable number.

506222306361 is a deficient number, since it is larger than the sum of its proper divisors (243055819599).

506222306361 is a wasteful number, since it uses less digits than its factorization.

506222306361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428137 (or 428134 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 506222306361 its reverse (163603222605), we get a palindrome (669825528966).

The spelling of 506222306361 in words is "five hundred six billion, two hundred twenty-two million, three hundred six thousand, three hundred sixty-one".