541040553132125 has 32 divisors (see below), whose sum is σ = 715179138332256. Its totient is φ = 407233940659200.

The previous prime is 541040553132071. The next prime is 541040553132151. The reversal of 541040553132125 is 521231355040145.

It can be written as a sum of positive squares in 16 ways, for example, as 437848803476569 + 103191749655556 = 20924837^2 + 10158334^2 .

It is not a de Polignac number, because 541040553132125 - 2¹⁰ = 541040553131101 is a prime.

It is a super-3 number, since 3×541040553132125³ (a number of 45 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36768002 + ... + 49335251.

It is an arithmetic number, because the mean of its divisors is an integer number (22349348072883).

Almost surely, 2^{541040553132125} is an apocalyptic number.

It is an amenable number.

541040553132125 is a deficient number, since it is larger than the sum of its proper divisors (174138585200131).

541040553132125 is a wasteful number, since it uses less digits than its factorization.

541040553132125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86106242 (or 86106232 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 41.

The spelling of 541040553132125 in words is "five hundred forty-one trillion, forty billion, five hundred fifty-three million, one hundred thirty-two thousand, one hundred twenty-five".