36849025521 has 135 divisors (see below), whose sum is σ = 70638598107. Its totient is φ = 19073244960.

The previous prime is 36849025453. The next prime is 36849025531. The reversal of 36849025521 is 12552094863.

The square root of 36849025521 is 191961.

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

36849025521 is a `hidden beast` number, since 3 + 6 + 8 + 4 + 90 + 2 + 552 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6351293025 + 30497732496 = 79695^2 + 174636^2 .

It is not a de Polignac number, because 36849025521 - 2¹¹ = 36849023473 is a prime.

It is not an unprimeable number, because it can be changed into a prime (36849025531) 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 134 ways as a sum of consecutive naturals, for example, 133028835 + ... + 133029111.

Almost surely, 2^36849025521 is an apocalyptic number.

36849025521 is the 191961-st square number.

36849025521 is the 95981-st centered octagonal number.

It is an amenable number.

36849025521 is a deficient number, since it is larger than the sum of its proper divisors (33789572586).

36849025521 is an equidigital number, since it uses as much as digits as its factorization.

36849025521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 298 counting only the distinct ones).

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

The spelling of 36849025521 in words is "thirty-six billion, eight hundred forty-nine million, twenty-five thousand, five hundred twenty-one".