505633535 has 16 divisors (see below), whose sum is σ = 662656032. Its totient is φ = 367324800.

The previous prime is 505633519. The next prime is 505633561. The reversal of 505633535 is 535336505.

It is not a de Polignac number, because 505633535 - 2⁴ = 505633519 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 505633495 and 505633504.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 50225 + ... + 59445.

It is an arithmetic number, because the mean of its divisors is an integer number (41416002).

Almost surely, 2^505633535 is an apocalyptic number.

505633535 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

505633535 is a deficient number, since it is larger than the sum of its proper divisors (157022497).

505633535 is a wasteful number, since it uses less digits than its factorization.

505633535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10234.

The product of its (nonzero) digits is 101250, while the sum is 35.

The square root of 505633535 is about 22486.2966048213. The cubic root of 505633535 is about 796.6702933568.

The spelling of 505633535 in words is "five hundred five million, six hundred thirty-three thousand, five hundred thirty-five".