2005259853513 has 8 divisors (see below), whose sum is σ = 3055634062528. Its totient is φ = 1145862773424.

The previous prime is 2005259853497. The next prime is 2005259853523. The reversal of 2005259853513 is 3153589525002.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 2005259853513 - 2⁴ = 2005259853497 is a prime.

It is a super-2 number, since 2×2005259853513² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2005259853523) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 47744282206 + ... + 47744282247.

It is an arithmetic number, because the mean of its divisors is an integer number (381954257816).

Almost surely, 2^{2005259853513} is an apocalyptic number.

It is an amenable number.

2005259853513 is a deficient number, since it is larger than the sum of its proper divisors (1050374209015).

2005259853513 is an equidigital number, since it uses as much as digits as its factorization.

2005259853513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95488564463.

The product of its (nonzero) digits is 1620000, while the sum is 48.

The spelling of 2005259853513 in words is "two trillion, five billion, two hundred fifty-nine million, eight hundred fifty-three thousand, five hundred thirteen".