505475137 has 2 divisors, whose sum is σ = 505475138. Its totient is φ = 505475136.

The previous prime is 505475111. The next prime is 505475143. The reversal of 505475137 is 731574505.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 404653456 + 100821681 = 20116^2 + 10041^2 .

It is a cyclic number.

It is not a de Polignac number, because 505475137 - 2¹⁵ = 505442369 is a prime.

It is a super-2 number, since 2×505475137² = 511010228250337538, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 505475096 and 505475105.

It is not a weakly prime, because it can be changed into another prime (505475237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252737568 + 252737569.

It is an arithmetic number, because the mean of its divisors is an integer number (252737569).

Almost surely, 2^505475137 is an apocalyptic number.

It is an amenable number.

505475137 is a deficient number, since it is larger than the sum of its proper divisors (1).

505475137 is an equidigital number, since it uses as much as digits as its factorization.

505475137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 73500, while the sum is 37.

The square root of 505475137 is about 22482.7742282842. The cubic root of 505475137 is about 796.5870946554.

The spelling of 505475137 in words is "five hundred five million, four hundred seventy-five thousand, one hundred thirty-seven".