36553825 has 48 divisors (see below), whose sum is σ = 59889024. Its totient is φ = 21427200.

The previous prime is 36553787. The next prime is 36553841. The reversal of 36553825 is 52835563.

It is not a de Polignac number, because 36553825 - 2⁷ = 36553697 is a prime.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32167 + ... + 33283.

It is an arithmetic number, because the mean of its divisors is an integer number (1247688).

Almost surely, 2^36553825 is an apocalyptic number.

36553825 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

36553825 is a deficient number, since it is larger than the sum of its proper divisors (23335199).

36553825 is a wasteful number, since it uses less digits than its factorization.

36553825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162 (or 1157 counting only the distinct ones).

The product of its digits is 108000, while the sum is 37.

The square root of 36553825 is about 6045.9759344543. The cubic root of 36553825 is about 331.8773467914.

It can be divided in two parts, 365538 and 25, that added together give a palindrome (365563).

The spelling of 36553825 in words is "thirty-six million, five hundred fifty-three thousand, eight hundred twenty-five".