1006506500 has 24 divisors (see below), whose sum is σ = 2198211288. Its totient is φ = 402602400.

The previous prime is 1006506497. The next prime is 1006506541. The reversal of 1006506500 is 56056001.

1006506500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 89264704 + 917241796 = 9448^2 + 30286^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1006007 + ... + 1007006.

It is an arithmetic number, because the mean of its divisors is an integer number (91592137).

Almost surely, 2^1006506500 is an apocalyptic number.

1006506500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1006506500 is an abundant number, since it is smaller than the sum of its proper divisors (1191704788).

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

1006506500 is a wasteful number, since it uses less digits than its factorization.

1006506500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013032 (or 2013020 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 1006506500 is about 31725.4865998932. The cubic root of 1006506500 is about 1002.1641464250.

The spelling of 1006506500 in words is "one billion, six million, five hundred six thousand, five hundred".