505757263 has 32 divisors (see below), whose sum is σ = 584236800. Its totient is φ = 433747200.

The previous prime is 505757261. The next prime is 505757267. The reversal of 505757263 is 362757505.

It is not a de Polignac number, because 505757263 - 2¹ = 505757261 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505757261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2208433 + ... + 2208661.

It is an arithmetic number, because the mean of its divisors is an integer number (18257400).

Almost surely, 2^505757263 is an apocalyptic number.

505757263 is a deficient number, since it is larger than the sum of its proper divisors (78479537).

505757263 is a wasteful number, since it uses less digits than its factorization.

505757263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423.

The product of its (nonzero) digits is 220500, while the sum is 40.

The square root of 505757263 is about 22489.0476232321. The cubic root of 505757263 is about 796.7352695212.

The spelling of 505757263 in words is "five hundred five million, seven hundred fifty-seven thousand, two hundred sixty-three".