505745735 has 32 divisors (see below), whose sum is σ = 693066240. Its totient is φ = 350697600.

The previous prime is 505745731. The next prime is 505745741. The reversal of 505745735 is 537547505.

It is not a de Polignac number, because 505745735 - 2² = 505745731 is a prime.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 505745692 and 505745701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (505745731) 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 31 ways as a sum of consecutive naturals, for example, 683996 + ... + 684734.

It is an arithmetic number, because the mean of its divisors is an integer number (21658320).

Almost surely, 2^505745735 is an apocalyptic number.

505745735 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

505745735 is a deficient number, since it is larger than the sum of its proper divisors (187320505).

505745735 is a wasteful number, since it uses less digits than its factorization.

505745735 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1319.

The product of its (nonzero) digits is 367500, while the sum is 41.

The square root of 505745735 is about 22488.7913192328. The cubic root of 505745735 is about 796.7292160020.

The spelling of 505745735 in words is "five hundred five million, seven hundred forty-five thousand, seven hundred thirty-five".