506556006 has 32 divisors (see below), whose sum is σ = 1116170496. Its totient is φ = 151980000.

The previous prime is 506555999. The next prime is 506556023. The reversal of 506556006 is 600655605.

It is a Harshad number since it is a multiple of its sum of digits (33).

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, 31330 + ... + 44661.

It is an arithmetic number, because the mean of its divisors is an integer number (34880328).

Almost surely, 2^506556006 is an apocalyptic number.

506556006 is an abundant number, since it is smaller than the sum of its proper divisors (609614490).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

506556006 is a wasteful number, since it uses less digits than its factorization.

506556006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76108.

The product of its (nonzero) digits is 27000, while the sum is 33.

The square root of 506556006 is about 22506.7991060479. The cubic root of 506556006 is about 797.1544772085.

The spelling of 506556006 in words is "five hundred six million, five hundred fifty-six thousand, six".