1005411331000 has 64 divisors (see below), whose sum is σ = 2491054469280. Its totient is φ = 378507788800.

The previous prime is 1005411330971. The next prime is 1005411331021. The reversal of 1005411331000 is 1331145001.

It is a super-2 number, since 2×1005411331000² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29553922 + ... + 29587921.

Almost surely, 2^{1005411331000} is an apocalyptic number.

1005411331000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005411331000 is an abundant number, since it is smaller than the sum of its proper divisors (1485643138280).

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

1005411331000 is a wasteful number, since it uses less digits than its factorization.

1005411331000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59141881 (or 59141867 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 19.

Adding to 1005411331000 its reverse (1331145001), we get a palindrome (1006742476001).

The spelling of 1005411331000 in words is "one trillion, five billion, four hundred eleven million, three hundred thirty-one thousand".