536118304401 has 27 divisors (see below), whose sum is σ = 782040913563. Its totient is φ = 353916675360.

The previous prime is 536118304363. The next prime is 536118304409. The reversal of 536118304401 is 104403811635.

The square root of 536118304401 is 732201.

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

536118304401 is a `hidden beast` number, since 5 + 3 + 611 + 8 + 30 + 4 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 322452486801 + 213665817600 = 567849^2 + 462240^2 .

It is not a de Polignac number, because 536118304401 - 2⁷ = 536118304273 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (536118304409) 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 26 ways as a sum of consecutive naturals, for example, 235035381 + ... + 235037661.

Almost surely, 2^536118304401 is an apocalyptic number.

536118304401 is the 732201-st square number.

536118304401 is the 366101-st centered octagonal number.

It is an amenable number.

536118304401 is a deficient number, since it is larger than the sum of its proper divisors (245922609162).

536118304401 is an frugal number, since it uses more digits than its factorization.

536118304401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4782 (or 2391 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Multiplying 536118304401 by its sum of digits (36), we get a square (19300258958436 = 4393206²).

The spelling of 536118304401 in words is "five hundred thirty-six billion, one hundred eighteen million, three hundred four thousand, four hundred one".