1005113285345 has 64 divisors (see below), whose sum is σ = 1353259353600. Its totient is φ = 711566069760.

The previous prime is 1005113285269. The next prime is 1005113285357. The reversal of 1005113285345 is 5435823115001.

1005113285345 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 1005113285345 - 2¹⁴ = 1005113268961 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1005113285299 and 1005113285308.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 163085234 + ... + 163091396.

It is an arithmetic number, because the mean of its divisors is an integer number (21144677400).

Almost surely, 2^{1005113285345} is an apocalyptic number.

It is an amenable number.

1005113285345 is a deficient number, since it is larger than the sum of its proper divisors (348146068255).

1005113285345 is a wasteful number, since it uses less digits than its factorization.

1005113285345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6810.

The product of its (nonzero) digits is 72000, while the sum is 38.

The spelling of 1005113285345 in words is "one trillion, five billion, one hundred thirteen million, two hundred eighty-five thousand, three hundred forty-five".