1505010006 has 48 divisors (see below), whose sum is σ = 3293978688. Its totient is φ = 496594800.

The previous prime is 1505009977. The next prime is 1505010043. The reversal of 1505010006 is 6000105051.

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

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, 1855341 + ... + 1856151.

It is an arithmetic number, because the mean of its divisors is an integer number (68624556).

Almost surely, 2^1505010006 is an apocalyptic number.

1505010006 is an abundant number, since it is smaller than the sum of its proper divisors (1788968682).

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

1505010006 is a wasteful number, since it uses less digits than its factorization.

1505010006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1737 (or 1734 counting only the distinct ones).

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

The square root of 1505010006 is about 38794.4584444737. The cubic root of 1505010006 is about 1145.9872763406.

Adding to 1505010006 its reverse (6000105051), we get a palindrome (7505115057).

The spelling of 1505010006 in words is "one billion, five hundred five million, ten thousand, six".