536127090849 has 135 divisors (see below), whose sum is σ = 962974593113. Its totient is φ = 287353172736.

The previous prime is 536127090739. The next prime is 536127090853. The reversal of 536127090849 is 948090721635.

The square root of 536127090849 is 732207.

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

536127090849 is a `hidden beast` number, since 5 + 361 + 270 + 9 + 0 + 8 + 4 + 9 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 300805080849 + 235322010000 = 548457^2 + 485100^2 .

It is not a de Polignac number, because 536127090849 - 2²⁵ = 536093536417 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 536127090795 and 536127090804.

It is not an unprimeable number, because it can be changed into a prime (536127090899) 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 134 ways as a sum of consecutive naturals, for example, 1829785147 + ... + 1829785439.

It is a 1-persistent number, because it is pandigital, but 2⋅536127090849 = 1072254181698 is not.

Almost surely, 2^536127090849 is an apocalyptic number.

536127090849 is the 732207-th square number.

536127090849 is the 366104-th centered octagonal number.

It is an amenable number.

536127090849 is a deficient number, since it is larger than the sum of its proper divisors (426847502264).

536127090849 is an frugal number, since it uses more digits than its factorization.

536127090849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 654 (or 320 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 536127090849 in words is "five hundred thirty-six billion, one hundred twenty-seven million, ninety thousand, eight hundred forty-nine".