36128519 has 36 divisors (see below), whose sum is σ = 47786544. Its totient is φ = 26659584.

The previous prime is 36128507. The next prime is 36128527. The reversal of 36128519 is 91582163.

It is not a de Polignac number, because 36128519 - 2⁸ = 36128263 is a prime.

It is a super-2 number, since 2×36128519² = 2610539770266722, which contains 22 as substring.

It is a Duffinian number.

Its product of digits (12960) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36128569) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1245797 + ... + 1245825.

It is an arithmetic number, because the mean of its divisors is an integer number (1327404).

Almost surely, 2^36128519 is an apocalyptic number.

36128519 is a deficient number, since it is larger than the sum of its proper divisors (11658025).

36128519 is a wasteful number, since it uses less digits than its factorization.

36128519 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 72 counting only the distinct ones).

The product of its digits is 12960, while the sum is 35.

The square root of 36128519 is about 6010.7003751643. The cubic root of 36128519 is about 330.5851845213.

The spelling of 36128519 in words is "thirty-six million, one hundred twenty-eight thousand, five hundred nineteen".