33387260105241 has 135 divisors (see below), whose sum is σ = 59493792783117. Its totient is φ = 18604786112640.

The previous prime is 33387260105153. The next prime is 33387260105263. The reversal of 33387260105241 is 14250106278333.

The square root of 33387260105241 is 5778171.

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

33387260105241 is a `hidden beast` number, since 3 + 3 + 38 + 7 + 2 + 601 + 0 + 5 + 2 + 4 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2013773855625 + 31373486249616 = 1419075^2 + 5601204^2 .

It is not a de Polignac number, because 33387260105241 - 2²³ = 33387251716633 is a prime.

It is a super-2 number, since 2×33387260105241² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33387260185241) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 14925014575 + ... + 14925016811.

Almost surely, 2^{33387260105241} is an apocalyptic number.

33387260105241 is the 5778171-st square number.

33387260105241 is the 2889086-th centered octagonal number.

It is an amenable number.

33387260105241 is a deficient number, since it is larger than the sum of its proper divisors (26106532677876).

33387260105241 is an frugal number, since it uses more digits than its factorization.

33387260105241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4582 (or 2288 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 33387260105241 in words is "thirty-three trillion, three hundred eighty-seven billion, two hundred sixty million, one hundred five thousand, two hundred forty-one".