36503552 has 34 divisors (see below), whose sum is σ = 73137618. Its totient is φ = 18219008.

The previous prime is 36503531. The next prime is 36503557. The reversal of 36503552 is 25530563.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 23658496 + 12845056 = 4864^2 + 3584^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36503557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 65258 + ... + 65814.

Almost surely, 2^36503552 is an apocalyptic number.

36503552 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36503552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36568809).

36503552 is an abundant number, since it is smaller than the sum of its proper divisors (36634066).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

36503552 is an frugal number, since it uses more digits than its factorization.

36503552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 589 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 13500, while the sum is 29.

The square root of 36503552 is about 6041.8169452574. The cubic root of 36503552 is about 331.7251317633.

The spelling of 36503552 in words is "thirty-six million, five hundred three thousand, five hundred fifty-two".