33053312138401 has 3 divisors (see below), whose sum is σ = 33053317887603. Its totient is φ = 33053306389200.

The previous prime is 33053312138369. The next prime is 33053312138419. The reversal of 33053312138401 is 10483121335033.

The square root of 33053312138401 is 5749201.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 19945147068001 + 13108165070400 = 4465999^2 + 3620520^2 .

It is not a de Polignac number, because 33053312138401 - 2⁵ = 33053312138369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (33053312138101) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2874601 + ... + 8623801.

It is an arithmetic number, because the mean of its divisors is an integer number (11017772629201).

Almost surely, 2^{33053312138401} is an apocalyptic number.

33053312138401 is the 5749201-st square number.

33053312138401 is the 2874601-st centered octagonal number.

It is an amenable number.

33053312138401 is a deficient number, since it is larger than the sum of its proper divisors (5749202).

33053312138401 is an frugal number, since it uses more digits than its factorization.

33053312138401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11498402 (or 5749201 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 37.

The spelling of 33053312138401 in words is "thirty-three trillion, fifty-three billion, three hundred twelve million, one hundred thirty-eight thousand, four hundred one".