507005073 has 12 divisors (see below), whose sum is σ = 736389108. Its totient is φ = 336134880.

The previous prime is 507005069. The next prime is 507005087. The reversal of 507005073 is 370500705.

It can be written as a sum of positive squares in 2 ways, for example, as 44195904 + 462809169 = 6648^2 + 21513^2 .

It is not a de Polignac number, because 507005073 - 2² = 507005069 is a prime.

It is not an unprimeable number, because it can be changed into a prime (507003073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153990 + ... + 157247.

It is an arithmetic number, because the mean of its divisors is an integer number (61365759).

Almost surely, 2^507005073 is an apocalyptic number.

It is an amenable number.

507005073 is a deficient number, since it is larger than the sum of its proper divisors (229384035).

507005073 is a wasteful number, since it uses less digits than its factorization.

507005073 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311424 (or 311421 counting only the distinct ones).

The product of its (nonzero) digits is 3675, while the sum is 27.

The square root of 507005073 is about 22516.7731480334. The cubic root of 507005073 is about 797.3899694571.

Adding to 507005073 its reverse (370500705), we get a palindrome (877505778).

The spelling of 507005073 in words is "five hundred seven million, five thousand, seventy-three".