1005540420135 has 16 divisors (see below), whose sum is σ = 1608936269184. Its totient is φ = 536264358432.

The previous prime is 1005540420127. The next prime is 1005540420149. The reversal of 1005540420135 is 5310240455001.

1005540420135 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 1005540420135 - 2³ = 1005540420127 is a prime.

It is a super-2 number, since 2×1005540420135² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1140637 + ... + 1819926.

It is an arithmetic number, because the mean of its divisors is an integer number (100558516824).

Almost surely, 2^{1005540420135} is an apocalyptic number.

1005540420135 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005540420135 is a deficient number, since it is larger than the sum of its proper divisors (603395849049).

1005540420135 is a wasteful number, since it uses less digits than its factorization.

1005540420135 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2983214.

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 1005540420135 its reverse (5310240455001), we get a palindrome (6315780875136).

The spelling of 1005540420135 in words is "one trillion, five billion, five hundred forty million, four hundred twenty thousand, one hundred thirty-five".