506754642257 has 2 divisors, whose sum is σ = 506754642258. Its totient is φ = 506754642256.

The previous prime is 506754642239. The next prime is 506754642271. The reversal of 506754642257 is 752246457605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 483308601616 + 23446040641 = 695204^2 + 153121^2 .

It is a cyclic number.

It is not a de Polignac number, because 506754642257 - 2⁶ = 506754642193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 506754642199 and 506754642208.

It is not a weakly prime, because it can be changed into another prime (506754642287) 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, 253377321128 + 253377321129.

It is an arithmetic number, because the mean of its divisors is an integer number (253377321129).

Almost surely, 2^506754642257 is an apocalyptic number.

It is an amenable number.

506754642257 is a deficient number, since it is larger than the sum of its proper divisors (1).

506754642257 is an equidigital number, since it uses as much as digits as its factorization.

506754642257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 14112000, while the sum is 53.

The spelling of 506754642257 in words is "five hundred six billion, seven hundred fifty-four million, six hundred forty-two thousand, two hundred fifty-seven".