2005513435030 has 32 divisors (see below), whose sum is σ = 4226252708160. Its totient is φ = 670833761280.

The previous prime is 2005513435019. The next prime is 2005513435031. The reversal of 2005513435030 is 305343155002.

It is a super-2 number, since 2×2005513435030² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2005513434983 and 2005513435001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005513435031) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349389715 + ... + 349395454.

It is an arithmetic number, because the mean of its divisors is an integer number (132070397130).

Almost surely, 2^{2005513435030} is an apocalyptic number.

2005513435030 is an abundant number, since it is smaller than the sum of its proper divisors (2220739273130).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2005513435030 is a wasteful number, since it uses less digits than its factorization.

2005513435030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698785224.

The product of its (nonzero) digits is 27000, while the sum is 31.

The spelling of 2005513435030 in words is "two trillion, five billion, five hundred thirteen million, four hundred thirty-five thousand, thirty".