1005331420511 has 16 divisors (see below), whose sum is σ = 1188243986688. Its totient is φ = 840172502400.

The previous prime is 1005331420507. The next prime is 1005331420517. The reversal of 1005331420511 is 1150241335001.

1005331420511 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1005331420511 - 2² = 1005331420507 is a prime.

It is a super-2 number, since 2×1005331420511² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005331420517) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62504795 + ... + 62520876.

It is an arithmetic number, because the mean of its divisors is an integer number (74265249168).

Almost surely, 2^{1005331420511} is an apocalyptic number.

1005331420511 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1005331420511 is a deficient number, since it is larger than the sum of its proper divisors (182912566177).

1005331420511 is a wasteful number, since it uses less digits than its factorization.

1005331420511 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125025742.

The product of its (nonzero) digits is 1800, while the sum is 26.

Adding to 1005331420511 its reverse (1150241335001), we get a palindrome (2155572755512).

The spelling of 1005331420511 in words is "one trillion, five billion, three hundred thirty-one million, four hundred twenty thousand, five hundred eleven".