36575415009 has 45 divisors (see below), whose sum is σ = 61680089939. Its totient is φ = 20884172400.

The previous prime is 36575414999. The next prime is 36575415011. The reversal of 36575415009 is 90051457563.

The square root of 36575415009 is 191247.

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

36575415009 is a `hidden beast` number, since 3 + 6 + 57 + 541 + 50 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56205009 + 36519210000 = 7497^2 + 191100^2 .

It is not a de Polignac number, because 36575415009 - 2⁵ = 36575414977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36575415029) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 28112659 + ... + 28113959.

Almost surely, 2^36575415009 is an apocalyptic number.

36575415009 is the 191247-th square number.

36575415009 is the 95624-th centered octagonal number.

It is an amenable number.

36575415009 is a deficient number, since it is larger than the sum of its proper divisors (25104674930).

36575415009 is an frugal number, since it uses more digits than its factorization.

36575415009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2636 (or 1311 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

It can be divided in two parts, 36575 and 415009, that added together give a square (451584 = 672²).

The spelling of 36575415009 in words is "thirty-six billion, five hundred seventy-five million, four hundred fifteen thousand, nine".