1005055501506 has 128 divisors (see below), whose sum is σ = 2436175472640. Its totient is φ = 270026265600.

The previous prime is 1005055501477. The next prime is 1005055501543. The reversal of 1005055501506 is 6051055505001.

It is a super-2 number, since 2×1005055501506² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79001226 + ... + 79013946.

It is an arithmetic number, because the mean of its divisors is an integer number (19032620880).

Almost surely, 2^{1005055501506} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1005055501506, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218087736320).

1005055501506 is an abundant number, since it is smaller than the sum of its proper divisors (1431119971134).

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

1005055501506 is a wasteful number, since it uses less digits than its factorization.

1005055501506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13480.

The product of its (nonzero) digits is 18750, while the sum is 33.

The spelling of 1005055501506 in words is "one trillion, five billion, fifty-five million, five hundred one thousand, five hundred six".