506105550 has 48 divisors (see below), whose sum is σ = 1394605680. Its totient is φ = 134961120.

The previous prime is 506105549. The next prime is 506105557. The reversal of 506105550 is 55501605.

506105550 is a `hidden beast` number, since 5 + 0 + 6 + 105 + 550 = 666.

It is a super-2 number, since 2×506105550² = 512285655481605000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (506105557) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 186097 + ... + 188796.

It is an arithmetic number, because the mean of its divisors is an integer number (29054285).

Almost surely, 2^506105550 is an apocalyptic number.

506105550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

506105550 is an abundant number, since it is smaller than the sum of its proper divisors (888500130).

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

506105550 is a wasteful number, since it uses less digits than its factorization.

506105550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374914 (or 374903 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The square root of 506105550 is about 22496.7897709873. The cubic root of 506105550 is about 796.9181166982.

The spelling of 506105550 in words is "five hundred six million, one hundred five thousand, five hundred fifty".