505035 has 40 divisors (see below), whose sum is σ = 958320. Its totient is φ = 254016.

The previous prime is 505033. The next prime is 505049. The reversal of 505035 is 530505.

505035 = 30² + 31² + ... + 115².

It is not a de Polignac number, because 505035 - 2¹ = 505033 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 504999 and 505017.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 505035.

It is not an unprimeable number, because it can be changed into a prime (505031) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 11724 + ... + 11766.

It is an arithmetic number, because the mean of its divisors is an integer number (23958).

2⁵⁰⁵⁰³⁵ is an apocalyptic number.

505035 is a deficient number, since it is larger than the sum of its proper divisors (453285).

505035 is a wasteful number, since it uses less digits than its factorization.

505035 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 375, while the sum is 18.

The square root of 505035 is about 710.6581456650. The cubic root of 505035 is about 79.6355820988.

The spelling of 505035 in words is "five hundred five thousand, thirty-five".