2010345335521 has 16 divisors (see below), whose sum is σ = 2085166011600. Its totient is φ = 1935893127168.

The previous prime is 2010345335519. The next prime is 2010345335543. The reversal of 2010345335521 is 1255335430102.

It can be written as a sum of positive squares in 8 ways, for example, as 273126438225 + 1737218897296 = 522615^2 + 1318036^2 .

It is a cyclic number.

It is not a de Polignac number, because 2010345335521 - 2¹ = 2010345335519 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2010345335591) 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, 73204225 + ... + 73231681.

It is an arithmetic number, because the mean of its divisors is an integer number (130322875725).

Almost surely, 2^{2010345335521} is an apocalyptic number.

It is an amenable number.

2010345335521 is a deficient number, since it is larger than the sum of its proper divisors (74820676079).

2010345335521 is a wasteful number, since it uses less digits than its factorization.

2010345335521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34068.

The product of its (nonzero) digits is 54000, while the sum is 34.

The spelling of 2010345335521 in words is "two trillion, ten billion, three hundred forty-five million, three hundred thirty-five thousand, five hundred twenty-one".