4561506000 has 120 divisors (see below), whose sum is σ = 15931882824. Its totient is φ = 1216396800.

The previous prime is 4561505957. The next prime is 4561506013. The reversal of 4561506000 is 6051654.

It is a happy number.

4561506000 is a `hidden beast` number, since 4 + 5 + 6 + 1 + 50 + 600 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 693163584 + 3868342416 = 26328^2 + 62196^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 108709 + ... + 144708.

Almost surely, 2^4561506000 is an apocalyptic number.

4561506000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4561506000 is an abundant number, since it is smaller than the sum of its proper divisors (11370376824).

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

4561506000 is a wasteful number, since it uses less digits than its factorization.

4561506000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253446 (or 253427 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 4561506000 is about 67538.9221116239. The cubic root of 4561506000 is about 1658.4514033143.

Adding to 4561506000 its reverse (6051654), we get a palindrome (4567557654).

The spelling of 4561506000 in words is "four billion, five hundred sixty-one million, five hundred six thousand".