2005145133311 has 8 divisors (see below), whose sum is σ = 2027716203600. Its totient is φ = 1982574982080.

The previous prime is 2005145133283. The next prime is 2005145133349. The reversal of 2005145133311 is 1133315415002.

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

It is a cyclic number.

It is not a de Polignac number, because 2005145133311 - 2²² = 2005140939007 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2005145133911) 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, 4766081 + ... + 5169701.

It is an arithmetic number, because the mean of its divisors is an integer number (253464525450).

Almost surely, 2^{2005145133311} is an apocalyptic number.

2005145133311 is a deficient number, since it is larger than the sum of its proper divisors (22571070289).

2005145133311 is an equidigital number, since it uses as much as digits as its factorization.

2005145133311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 459529.

The product of its (nonzero) digits is 5400, while the sum is 29.

The spelling of 2005145133311 in words is "two trillion, five billion, one hundred forty-five million, one hundred thirty-three thousand, three hundred eleven".