1066505000 has 80 divisors (see below), whose sum is σ = 2726127360. Its totient is φ = 387800000.

The previous prime is 1066504991. The next prime is 1066505021. The reversal of 1066505000 is 5056601.

1066505000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1066505000² = 2274865830050000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 45305 + ... + 64695.

It is an arithmetic number, because the mean of its divisors is an integer number (34076592).

Almost surely, 2^1066505000 is an apocalyptic number.

1066505000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1066505000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1363063680).

1066505000 is an abundant number, since it is smaller than the sum of its proper divisors (1659622360).

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

1066505000 is a wasteful number, since it uses less digits than its factorization.

1066505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19428 (or 19409 counting only the distinct ones).

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

The square root of 1066505000 is about 32657.3881380615. The cubic root of 1066505000 is about 1021.6942877952.

The spelling of 1066505000 in words is "one billion, sixty-six million, five hundred five thousand".