506655081 has 45 divisors (see below), whose sum is σ = 788691189. Its totient is φ = 324129600.

The previous prime is 506655073. The next prime is 506655137. The reversal of 506655081 is 180556605.

The square root of 506655081 is 22509.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 428862681 + 77792400 = 20709^2 + 8820^2 .

It is not a de Polignac number, because 506655081 - 2³ = 506655073 is a prime.

It is a super-2 number, since 2×506655081² = 513398742206233122, which contains 22 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (506655011) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 8305791 + ... + 8305851.

Almost surely, 2^506655081 is an apocalyptic number.

506655081 is the 22509-th square number.

506655081 is the 11255-th centered octagonal number.

It is an amenable number.

506655081 is a deficient number, since it is larger than the sum of its proper divisors (282036108).

506655081 is an frugal number, since it uses more digits than its factorization.

506655081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The cubic root of 506655081 is about 797.2064444345.

Multiplying 506655081 by its sum of digits (36), we get a square (18239582916 = 135054²).

The spelling of 506655081 in words is "five hundred six million, six hundred fifty-five thousand, eighty-one".