2253545342541 has 24 divisors (see below), whose sum is σ = 3263910642720. Its totient is φ = 1498309075296.

The previous prime is 2253545342497. The next prime is 2253545342599. The reversal of 2253545342541 is 1452435453522.

2253545342541 is a `hidden beast` number, since 2 + 2 + 5 + 3 + 54 + 53 + 4 + 2 + 541 = 666.

It is not a de Polignac number, because 2253545342541 - 2¹⁵ = 2253545309773 is a prime.

It is a super-3 number, since 3×2253545342541³ (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2253545343541) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12175210 + ... + 12358916.

It is an arithmetic number, because the mean of its divisors is an integer number (135996276780).

Almost surely, 2^{2253545342541} is an apocalyptic number.

It is an amenable number.

2253545342541 is a deficient number, since it is larger than the sum of its proper divisors (1010365300179).

2253545342541 is a wasteful number, since it uses less digits than its factorization.

2253545342541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187385 (or 187382 counting only the distinct ones).

The product of its digits is 2880000, while the sum is 45.

The spelling of 2253545342541 in words is "two trillion, two hundred fifty-three billion, five hundred forty-five million, three hundred forty-two thousand, five hundred forty-one".