2005530513345 has 48 divisors (see below), whose sum is σ = 3549839567040. Its totient is φ = 1047065355648.

The previous prime is 2005530513331. The next prime is 2005530513367. The reversal of 2005530513345 is 5433150355002.

2005530513345 is a `hidden beast` number, since 2 + 0 + 0 + 5 + 5 + 305 + 1 + 3 + 345 = 666.

It is not a de Polignac number, because 2005530513345 - 2⁹ = 2005530512833 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107466 + ... + 2005644.

It is an arithmetic number, because the mean of its divisors is an integer number (73954990980).

Almost surely, 2^{2005530513345} is an apocalyptic number.

It is an amenable number.

2005530513345 is a deficient number, since it is larger than the sum of its proper divisors (1544309053695).

2005530513345 is a wasteful number, since it uses less digits than its factorization.

2005530513345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1898686 (or 1898683 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 36.

Adding to 2005530513345 its reverse (5433150355002), we get a palindrome (7438680868347).

The spelling of 2005530513345 in words is "two trillion, five billion, five hundred thirty million, five hundred thirteen thousand, three hundred forty-five".