2532106823 has 16 divisors (see below), whose sum is σ = 2728083456. Its totient is φ = 2344224960.

The previous prime is 2532106799. The next prime is 2532106861. The reversal of 2532106823 is 3286012352.

It is a cyclic number.

It is not a de Polignac number, because 2532106823 - 2²⁰ = 2531058247 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2532106823.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2532106873) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 109190 + ... + 130332.

It is an arithmetic number, because the mean of its divisors is an integer number (170505216).

Almost surely, 2^2532106823 is an apocalyptic number.

2532106823 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

2532106823 is a deficient number, since it is larger than the sum of its proper divisors (195976633).

2532106823 is a wasteful number, since it uses less digits than its factorization.

2532106823 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21334.

The product of its (nonzero) digits is 17280, while the sum is 32.

The square root of 2532106823 is about 50320.0439487089. The cubic root of 2532106823 is about 1362.9942001872.

The spelling of 2532106823 in words is "two billion, five hundred thirty-two million, one hundred six thousand, eight hundred twenty-three".