1073741823 has 96 divisors (see below), whose sum is σ = 2015330304. Its totient is φ = 534600000.

The previous prime is 1073741789. The next prime is 1073741827. The reversal of 1073741823 is 3281473701.

1073741823 is a `hidden beast` number, since 107 + 374 + 182 + 3 = 666.

1073741823 is nontrivially palindromic in base 2, base 4 and base 8.

It is a Cunningham number, because it is equal to 2³⁰-1.

It is not a de Polignac number, because 1073741823 - 2⁸ = 1073741567 is a prime.

1073741823 is a nontrivial repdigit in base 2, base 4 and base 8.

It is a plaindrome in base 2, base 4, base 8 and base 16.

It is a nialpdrome in base 2, base 4 and base 8.

It is a zygodrome in base 2, base 4 and base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1073741827) by changing a digit.

It is a nontrivial repunit in base 2.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3243768 + ... + 3244098.

It is an arithmetic number, because the mean of its divisors is an integer number (20993024).

Almost surely, 2^1073741823 is an apocalyptic number.

1073741823 is a deficient number, since it is larger than the sum of its proper divisors (941588481).

1073741823 is a wasteful number, since it uses less digits than its factorization.

1073741823 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 537 (or 534 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 1073741823 is about 32767.9999847412. Note that the first 4 decimals coincide. The cubic root of 1073741823 is about 1023.9999996821. Note that the first 6 decimals are identical.

The spelling of 1073741823 in words is "one billion, seventy-three million, seven hundred forty-one thousand, eight hundred twenty-three".