36553131 has 24 divisors (see below), whose sum is σ = 55932240. Its totient is φ = 22939200.

The previous prime is 36553109. The next prime is 36553147. The reversal of 36553131 is 13135563.

36553131 is a `hidden beast` number, since 3 + 655 + 3 + 1 + 3 + 1 = 666.

36553131 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 36553131 - 2⁶ = 36553067 is a prime.

It is a super-2 number, since 2×36553131² = 2672262771806322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 36553095 and 36553104.

It is not an unprimeable number, because it can be changed into a prime (36553331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30361 + ... + 31541.

It is an arithmetic number, because the mean of its divisors is an integer number (2330510).

Almost surely, 2^36553131 is an apocalyptic number.

36553131 is a deficient number, since it is larger than the sum of its proper divisors (19379109).

36553131 is a wasteful number, since it uses less digits than its factorization.

36553131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1384 counting only the distinct ones).

The product of its digits is 4050, while the sum is 27.

The square root of 36553131 is about 6045.9185406355. The cubic root of 36553131 is about 331.8752464701.

Adding to 36553131 its reverse (13135563), we get a palindrome (49688694).

It can be divided in two parts, 3655 and 3131, that added together give a triangular number (6786 = T₁₁₆).

The spelling of 36553131 in words is "thirty-six million, five hundred fifty-three thousand, one hundred thirty-one".