506100610633 has 2 divisors, whose sum is σ = 506100610634. Its totient is φ = 506100610632.

The previous prime is 506100610607. The next prime is 506100610657. The reversal of 506100610633 is 336016001605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 494204782009 + 11895828624 = 702997^2 + 109068^2 .

It is a cyclic number.

It is not a de Polignac number, because 506100610633 - 2³³ = 497510676041 is a prime.

It is a super-2 number, since 2×506100610633² (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 506100610595 and 506100610604.

It is not a weakly prime, because it can be changed into another prime (506100610663) 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, 253050305316 + 253050305317.

It is an arithmetic number, because the mean of its divisors is an integer number (253050305317).

Almost surely, 2^506100610633 is an apocalyptic number.

It is an amenable number.

506100610633 is a deficient number, since it is larger than the sum of its proper divisors (1).

506100610633 is an equidigital number, since it uses as much as digits as its factorization.

506100610633 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 31.

The spelling of 506100610633 in words is "five hundred six billion, one hundred million, six hundred ten thousand, six hundred thirty-three".