505904977 has 2 divisors, whose sum is σ = 505904978. Its totient is φ = 505904976.

The previous prime is 505904939. The next prime is 505905011. The reversal of 505904977 is 779409505.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 466516801 + 39388176 = 21599^2 + 6276^2 .

It is a cyclic number.

It is not a de Polignac number, because 505904977 - 2²⁷ = 371687249 is a prime.

It is not a weakly prime, because it can be changed into another prime (505904177) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 252952488 + 252952489.

It is an arithmetic number, because the mean of its divisors is an integer number (252952489).

Almost surely, 2^505904977 is an apocalyptic number.

It is an amenable number.

505904977 is a deficient number, since it is larger than the sum of its proper divisors (1).

505904977 is an equidigital number, since it uses as much as digits as its factorization.

505904977 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 396900, while the sum is 46.

The square root of 505904977 is about 22492.3315154299. The cubic root of 505904977 is about 796.8128281358.

The spelling of 505904977 in words is "five hundred five million, nine hundred four thousand, nine hundred seventy-seven".