5205035 has 16 divisors (see below), whose sum is σ = 6888672. Its totient is φ = 3744000.

The previous prime is 5205019. The next prime is 5205037. The reversal of 5205035 is 5305025.

It is not a de Polignac number, because 5205035 - 2⁴ = 5205019 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 5204998 and 5205016.

It is not an unprimeable number, because it can be changed into a prime (5205037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5087 + ... + 6023.

It is an arithmetic number, because the mean of its divisors is an integer number (430542).

Almost surely, 2^5205035 is an apocalyptic number.

5205035 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5205035 is a deficient number, since it is larger than the sum of its proper divisors (1683637).

5205035 is a wasteful number, since it uses less digits than its factorization.

5205035 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1054.

The product of its (nonzero) digits is 750, while the sum is 20.

The square root of 5205035 is about 2281.4545798679. The cubic root of 5205035 is about 173.3037198752.

It can be divided in two parts, 520 and 5035, that added together give a palindrome (5555).

The spelling of 5205035 in words is "five million, two hundred five thousand, thirty-five".