506808400337 has 2 divisors, whose sum is σ = 506808400338. Its totient is φ = 506808400336.

The previous prime is 506808400313. The next prime is 506808400339. The reversal of 506808400337 is 733004808605.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 267867318481 + 238941081856 = 517559^2 + 488816^2 .

It is a cyclic number.

It is not a de Polignac number, because 506808400337 - 2¹⁰ = 506808399313 is a prime.

Together with 506808400339, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (506808400339) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 253404200168 + 253404200169.

It is an arithmetic number, because the mean of its divisors is an integer number (253404200169).

Almost surely, 2^506808400337 is an apocalyptic number.

It is an amenable number.

506808400337 is a deficient number, since it is larger than the sum of its proper divisors (1).

506808400337 is an equidigital number, since it uses as much as digits as its factorization.

506808400337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 483840, while the sum is 44.

The spelling of 506808400337 in words is "five hundred six billion, eight hundred eight million, four hundred thousand, three hundred thirty-seven".