1006506081 has 80 divisors (see below), whose sum is σ = 1773066240. Its totient is φ = 557111520.

The previous prime is 1006506071. The next prime is 1006506091. The reversal of 1006506081 is 1806056001.

1006506081 is a `hidden beast` number, since 1 + 0 + 0 + 6 + 50 + 608 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (1006506071) and next prime (1006506091).

It is not a de Polignac number, because 1006506081 - 2⁵ = 1006506049 is a prime.

It is a super-2 number, since 2×1006506081² = 2026108982179957122, which contains 22 as substring.

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

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1006506071) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4770066 + ... + 4770276.

It is an arithmetic number, because the mean of its divisors is an integer number (22163328).

Almost surely, 2^1006506081 is an apocalyptic number.

It is an amenable number.

1006506081 is a deficient number, since it is larger than the sum of its proper divisors (766560159).

1006506081 is a wasteful number, since it uses less digits than its factorization.

1006506081 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456 (or 447 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 1006506081 is about 31725.4799963688. The cubic root of 1006506081 is about 1002.1640073608.

The spelling of 1006506081 in words is "one billion, six million, five hundred six thousand, eighty-one".