540752097121929 has 405 divisors, whose sum is σ = 1020670634510709. Its totient is φ = 275655689084160.

The previous prime is 540752097121909. The next prime is 540752097121939. The reversal of 540752097121929 is 929121790257045.

The square root of 540752097121929 is 23254077.

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

540752097121929 is a `hidden beast` number, since 5 + 4 + 0 + 7 + 520 + 9 + 7 + 12 + 1 + 92 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 230100897031929 + 310651200090000 = 15169077^2 + 17625300^2 .

It is not a de Polignac number, because 540752097121929 - 2¹⁷ = 540752096990857 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (540752097121909) by changing a digit.

It is a polite number, since it can be written in 404 ways as a sum of consecutive naturals, for example, 2744934503059 + ... + 2744934503255.

Almost surely, 2^{540752097121929} is an apocalyptic number.

540752097121929 is the 23254077-th square number.

540752097121929 is the 11627039-th centered octagonal number.

It is an amenable number.

540752097121929 is a deficient number, since it is larger than the sum of its proper divisors (479918537388780).

540752097121929 is an frugal number, since it uses more digits than its factorization.

540752097121929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 596 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 28576800, while the sum is 63.

The spelling of 540752097121929 in words is "five hundred forty trillion, seven hundred fifty-two billion, ninety-seven million, one hundred twenty-one thousand, nine hundred twenty-nine".