2005135323215 has 16 divisors (see below), whose sum is σ = 2410516610400. Its totient is φ = 1601207782272.

The previous prime is 2005135323181. The next prime is 2005135323223. The reversal of 2005135323215 is 5123235315002.

It is a cyclic number.

It is not a de Polignac number, because 2005135323215 - 2¹⁶ = 2005135257679 is a prime.

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, 6773084 + ... + 7062926.

It is an arithmetic number, because the mean of its divisors is an integer number (150657288150).

Almost surely, 2^{2005135323215} is an apocalyptic number.

2005135323215 is a deficient number, since it is larger than the sum of its proper divisors (405381287185).

2005135323215 is a wasteful number, since it uses less digits than its factorization.

2005135323215 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292346.

The product of its (nonzero) digits is 27000, while the sum is 32.

The spelling of 2005135323215 in words is "two trillion, five billion, one hundred thirty-five million, three hundred twenty-three thousand, two hundred fifteen".