27735150513 has 16 divisors (see below), whose sum is σ = 42273338240. Its totient is φ = 15844813056.

The previous prime is 27735150493. The next prime is 27735150517. The reversal of 27735150513 is 31505153772.

It is not a de Polignac number, because 27735150513 - 2⁶ = 27735150449 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (27735150517) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70378 + ... + 245811.

It is an arithmetic number, because the mean of its divisors is an integer number (2642083640).

Almost surely, 2^27735150513 is an apocalyptic number.

It is an amenable number.

27735150513 is a deficient number, since it is larger than the sum of its proper divisors (14538187727).

27735150513 is a wasteful number, since it uses less digits than its factorization.

27735150513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320376.

The product of its (nonzero) digits is 110250, while the sum is 39.

The spelling of 27735150513 in words is "twenty-seven billion, seven hundred thirty-five million, one hundred fifty thousand, five hundred thirteen".