540664205625 has 120 divisors (see below), whose sum is σ = 1019586028032. Its totient is φ = 275473440000.

The previous prime is 540664205597. The next prime is 540664205629. The reversal of 540664205625 is 526502466045.

540664205625 is a `hidden beast` number, since 5 + 4 + 0 + 6 + 64 + 20 + 562 + 5 = 666.

It is not a de Polignac number, because 540664205625 - 2¹⁰ = 540664204601 is a prime.

It is a super-2 number, since 2×540664205625² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (540664205629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 128208517 + ... + 128212733.

Almost surely, 2^540664205625 is an apocalyptic number.

It is an amenable number.

540664205625 is a deficient number, since it is larger than the sum of its proper divisors (478921822407).

540664205625 is a wasteful number, since it uses less digits than its factorization.

540664205625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5257 (or 5239 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 540664205625 in words is "five hundred forty billion, six hundred sixty-four million, two hundred five thousand, six hundred twenty-five".