536906442121 has 9 divisors (see below), whose sum is σ = 624570603399. Its totient is φ = 460201125384.

The previous prime is 536906442103. The next prime is 536906442173. The reversal of 536906442121 is 121244609635.

The square root of 536906442121 is 732739.

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

It can be written as a sum of positive squares in only one way, i.e., 478746367225 + 58160074896 = 691915^2 + 241164^2 .

It is a de Polignac number, because none of the positive numbers 2^k-536906442121 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (536906440121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5076835 + ... + 5181511.

It is an arithmetic number, because the mean of its divisors is an integer number (69396733711).

Almost surely, 2^536906442121 is an apocalyptic number.

536906442121 is the 732739-th square number.

536906442121 is the 366370-th centered octagonal number.

It is an amenable number.

536906442121 is a deficient number, since it is larger than the sum of its proper divisors (87664161278).

536906442121 is an frugal number, since it uses more digits than its factorization.

536906442121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 209368 (or 104684 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 43.

The spelling of 536906442121 in words is "five hundred thirty-six billion, nine hundred six million, four hundred forty-two thousand, one hundred twenty-one".