3321552352105 has 64 divisors (see below), whose sum is σ = 4367320372800. Its totient is φ = 2410445537280.

The previous prime is 3321552352103. The next prime is 3321552352171. The reversal of 3321552352105 is 5012532551233.

3321552352105 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 32 ways, for example, as 1403914547161 + 1917637804944 = 1184869^2 + 1384788^2 .

It is not a de Polignac number, because 3321552352105 - 2¹ = 3321552352103 is a prime.

It is a super-2 number, since 2×3321552352105² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3321552352103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 804442681 + ... + 804446809.

It is an arithmetic number, because the mean of its divisors is an integer number (68239380825).

Almost surely, 2^{3321552352105} is an apocalyptic number.

It is an amenable number.

3321552352105 is a deficient number, since it is larger than the sum of its proper divisors (1045768020695).

3321552352105 is a wasteful number, since it uses less digits than its factorization.

3321552352105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5054.

The product of its (nonzero) digits is 135000, while the sum is 37.

The spelling of 3321552352105 in words is "three trillion, three hundred twenty-one billion, five hundred fifty-two million, three hundred fifty-two thousand, one hundred five".