2533894096041 has 135 divisors (see below), whose sum is σ = 4841979749607. Its totient is φ = 1315735565760.

The previous prime is 2533894096031. The next prime is 2533894096043. The reversal of 2533894096041 is 1406904983352.

The square root of 2533894096041 is 1591821.

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

2533894096041 is a `hidden beast` number, since 2 + 533 + 8 + 9 + 4 + 0 + 9 + 60 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1191317675625 + 1342576420416 = 1091475^2 + 1158696^2 .

It is not a de Polignac number, because 2533894096041 - 2¹¹ = 2533894093993 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2533894096043) 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, 1103130805 + ... + 1103133101.

Almost surely, 2^{2533894096041} is an apocalyptic number.

2533894096041 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

2533894096041 is the 1591821-st square number.

2533894096041 is the 795911-st centered octagonal number.

It is an amenable number.

2533894096041 is a deficient number, since it is larger than the sum of its proper divisors (2308085653566).

2533894096041 is an frugal number, since it uses more digits than its factorization.

2533894096041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4642 (or 2318 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 2533894096041 in words is "two trillion, five hundred thirty-three billion, eight hundred ninety-four million, ninety-six thousand, forty-one".