536188598001 has 135 divisors (see below), whose sum is σ = 952639758939. Its totient is φ = 299671438752.

The previous prime is 536188597981. The next prime is 536188598027. The reversal of 536188598001 is 100895881635.

The square root of 536188598001 is 732249.

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

536188598001 is a `hidden beast` number, since 5 + 36 + 18 + 8 + 598 + 0 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 525356784225 + 10831813776 = 724815^2 + 104076^2 .

It is not a de Polignac number, because 536188598001 - 2⁵ = 536188597969 is a prime.

It is a super-3 number, since 3×536188598001³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (536188198001) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 2721769435 + ... + 2721769631.

Almost surely, 2^536188598001 is an apocalyptic number.

536188598001 is the 732249-th square number.

536188598001 is the 366125-th centered octagonal number.

It is an amenable number.

536188598001 is a deficient number, since it is larger than the sum of its proper divisors (416451160938).

536188598001 is an frugal number, since it uses more digits than its factorization.

536188598001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 54.

The spelling of 536188598001 in words is "five hundred thirty-six billion, one hundred eighty-eight million, five hundred ninety-eight thousand, one".