152036826561 has 27 divisors (see below), whose sum is σ = 229612727617. Its totient is φ = 96933863400.

The previous prime is 152036826511. The next prime is 152036826581. The reversal of 152036826561 is 165628630251.

The square root of 152036826561 is 389919.

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

152036826561 is a `hidden beast` number, since 1 + 5 + 2 + 0 + 3 + 6 + 82 + 6 + 561 = 666.

152036826561 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 152036826561 - 2²⁷ = 151902608833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (152036826511) 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, 26901586 + ... + 26907236.

Almost surely, 2^152036826561 is an apocalyptic number.

152036826561 is the 389919-th square number.

152036826561 is the 194960-th centered octagonal number.

It is an amenable number.

152036826561 is a deficient number, since it is larger than the sum of its proper divisors (77575901056).

152036826561 is an frugal number, since it uses more digits than its factorization.

152036826561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11354 (or 5677 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 152036826561 in words is "one hundred fifty-two billion, thirty-six million, eight hundred twenty-six thousand, five hundred sixty-one".