1010505006 has 48 divisors (see below), whose sum is σ = 2633904000. Its totient is φ = 273519504.

The previous prime is 1010504959. The next prime is 1010505017. The reversal of 1010505006 is 6005050101.

It is a super-2 number, since 2×1010505006² = 2042240734302120072, 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 1010505006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 208656 + ... + 213443.

It is an arithmetic number, because the mean of its divisors is an integer number (54873000).

Almost surely, 2^1010505006 is an apocalyptic number.

1010505006 is an abundant number, since it is smaller than the sum of its proper divisors (1623398994).

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

1010505006 is a wasteful number, since it uses less digits than its factorization.

1010505006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 422133 (or 422130 counting only the distinct ones).

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

The square root of 1010505006 is about 31788.4413899140. The cubic root of 1010505006 is about 1003.4894780465.

Adding to 1010505006 its reverse (6005050101), we get a palindrome (7015555107).

The spelling of 1010505006 in words is "one billion, ten million, five hundred five thousand, six".