1005114135435 has 32 divisors (see below), whose sum is σ = 1612138096128. Its totient is φ = 534744011520.

The previous prime is 1005114135413. The next prime is 1005114135469. The reversal of 1005114135435 is 5345314115001.

It is a happy number.

It is not a de Polignac number, because 1005114135435 - 2¹³ = 1005114127243 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005114135396 and 1005114135405.

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 31 ways as a sum of consecutive naturals, for example, 9961599 + ... + 10061991.

It is an arithmetic number, because the mean of its divisors is an integer number (50379315504).

Almost surely, 2^{1005114135435} is an apocalyptic number.

1005114135435 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005114135435 is a deficient number, since it is larger than the sum of its proper divisors (607023960693).

1005114135435 is a wasteful number, since it uses less digits than its factorization.

1005114135435 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102035.

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 1005114135435 in words is "one trillion, five billion, one hundred fourteen million, one hundred thirty-five thousand, four hundred thirty-five".