33500213105 has 32 divisors (see below), whose sum is σ = 41644519200. Its totient is φ = 25850603520.

The previous prime is 33500213101. The next prime is 33500213113. The reversal of 33500213105 is 50131200533.

It can be written as a sum of positive squares in 16 ways, for example, as 23161187344 + 10339025761 = 152188^2 + 101681^2 .

It is not a de Polignac number, because 33500213105 - 2² = 33500213101 is a prime.

It is a super-2 number, since 2×33500213105² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (33500213101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20976167 + ... + 20977763.

It is an arithmetic number, because the mean of its divisors is an integer number (1301391225).

Almost surely, 2^33500213105 is an apocalyptic number.

It is an amenable number.

33500213105 is a deficient number, since it is larger than the sum of its proper divisors (8144306095).

33500213105 is a wasteful number, since it uses less digits than its factorization.

33500213105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2549.

The product of its (nonzero) digits is 1350, while the sum is 23.

Adding to 33500213105 its reverse (50131200533), we get a palindrome (83631413638).

The spelling of 33500213105 in words is "thirty-three billion, five hundred million, two hundred thirteen thousand, one hundred five".