1017133506 has 12 divisors (see below), whose sum is σ = 2203789302. Its totient is φ = 339044496.

The previous prime is 1017133463. The next prime is 1017133553. The reversal of 1017133506 is 6053317101.

1017133506 is a `hidden beast` number, since 10 + 17 + 133 + 506 = 666.

It can be written as a sum of positive squares in only one way, i.e., 526289481 + 490844025 = 22941^2 + 22155^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1017133506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 28253691 + ... + 28253726.

Almost surely, 2^1017133506 is an apocalyptic number.

1017133506 is an abundant number, since it is smaller than the sum of its proper divisors (1186655796).

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

1017133506 is a wasteful number, since it uses less digits than its factorization.

1017133506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56507425 (or 56507422 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 1017133506 is about 31892.5305675169. The cubic root of 1017133506 is about 1005.6788581897.

The spelling of 1017133506 in words is "one billion, seventeen million, one hundred thirty-three thousand, five hundred six".