2010414040513 has 8 divisors (see below), whose sum is σ = 2125882354176. Its totient is φ = 1898109242400.

The previous prime is 2010414040477. The next prime is 2010414040517. The reversal of 2010414040513 is 3150404140102.

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

It is a de Polignac number, because none of the positive numbers 2^k-2010414040513 is a prime.

It is a super-2 number, since 2×2010414040513² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2010414040517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 790877581 + ... + 790880122.

It is an arithmetic number, because the mean of its divisors is an integer number (265735294272).

Almost surely, 2^{2010414040513} is an apocalyptic number.

It is an amenable number.

2010414040513 is a deficient number, since it is larger than the sum of its proper divisors (115468313663).

2010414040513 is a wasteful number, since it uses less digits than its factorization.

2010414040513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1581757775.

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 2010414040513 its reverse (3150404140102), we get a palindrome (5160818180615).

The spelling of 2010414040513 in words is "two trillion, ten billion, four hundred fourteen million, forty thousand, five hundred thirteen".