1827328013001 has 48 divisors (see below), whose sum is σ = 2787400512000. Its totient is φ = 1150366406400.

The previous prime is 1827328012927. The next prime is 1827328013123. The reversal of 1827328013001 is 1003108237281.

1827328013001 is a `hidden beast` number, since 1 + 8 + 2 + 73 + 280 + 1 + 300 + 1 = 666.

It is not a de Polignac number, because 1827328013001 - 2²⁶ = 1827260904137 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1827328113001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70401576 + ... + 70427526.

It is an arithmetic number, because the mean of its divisors is an integer number (58070844000).

Almost surely, 2^{1827328013001} is an apocalyptic number.

It is an amenable number.

1827328013001 is a deficient number, since it is larger than the sum of its proper divisors (960072498999).

1827328013001 is a wasteful number, since it uses less digits than its factorization.

1827328013001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27294 (or 27291 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 1827328013001 in words is "one trillion, eight hundred twenty-seven billion, three hundred twenty-eight million, thirteen thousand, one".