540613761120531 has 240 divisors, whose sum is σ = 1013759471324160. Its totient is φ = 285346611406080.

The previous prime is 540613761120529. The next prime is 540613761120539. The reversal of 540613761120531 is 135021167316045.

540613761120531 is a `hidden beast` number, since 5 + 4 + 0 + 6 + 1 + 3 + 7 + 611 + 20 + 5 + 3 + 1 = 666.

It is not a de Polignac number, because 540613761120531 - 2¹ = 540613761120529 is a prime.

It is a super-2 number, since 2×540613761120531² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (540613761120539) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 931865391 + ... + 932445351.

It is an arithmetic number, because the mean of its divisors is an integer number (4223997797184).

Almost surely, 2^{540613761120531} is an apocalyptic number.

540613761120531 is a deficient number, since it is larger than the sum of its proper divisors (473145710203629).

540613761120531 is a wasteful number, since it uses less digits than its factorization.

540613761120531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 580316 (or 580300 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 540613761120531 in words is "five hundred forty trillion, six hundred thirteen billion, seven hundred sixty-one million, one hundred twenty thousand, five hundred thirty-one".