507006005 has 16 divisors (see below), whose sum is σ = 681657984. Its totient is φ = 358764480.

The previous prime is 507005999. The next prime is 507006037. The reversal of 507006005 is 500600705.

It is not a de Polignac number, because 507006005 - 2²⁰ = 505957429 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 122537 + ... + 126606.

It is an arithmetic number, because the mean of its divisors is an integer number (42603624).

Almost surely, 2^507006005 is an apocalyptic number.

507006005 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

507006005 is a deficient number, since it is larger than the sum of its proper divisors (174651979).

507006005 is a wasteful number, since it uses less digits than its factorization.

507006005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 249196.

The product of its (nonzero) digits is 1050, while the sum is 23.

The square root of 507006005 is about 22516.7938437070. The cubic root of 507006005 is about 797.3904580564.

The spelling of 507006005 in words is "five hundred seven million, six thousand, five".