1005051006 has 48 divisors (see below), whose sum is σ = 2243807280. Its totient is φ = 324984960.

The previous prime is 1005050993. The next prime is 1005051007. The reversal of 1005051006 is 6001505001.

1005051006 is a `hidden beast` number, since 100 + 50 + 510 + 0 + 6 = 666.

It is a super-2 number, since 2×1005051006² = 2020255049323224072, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1005051006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005051007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73885 + ... + 86423.

It is an arithmetic number, because the mean of its divisors is an integer number (46745985).

Almost surely, 2^1005051006 is an apocalyptic number.

1005051006 is an abundant number, since it is smaller than the sum of its proper divisors (1238756274).

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

1005051006 is a wasteful number, since it uses less digits than its factorization.

1005051006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12681 (or 12678 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1005051006 is about 31702.5394250997. The cubic root of 1005051006 is about 1001.6808418544.

Adding to 1005051006 its reverse (6001505001), we get a palindrome (7006556007).

The spelling of 1005051006 in words is "one billion, five million, fifty-one thousand, six".