828100013 has 4 divisors (see below), whose sum is σ = 891800028. Its totient is φ = 764400000.

The previous prime is 828099983. The next prime is 828100033. The reversal of 828100013 is 310001828.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 78818884 + 749281129 = 8878^2 + 27373^2 .

It is not a de Polignac number, because 828100013 - 2⁸ = 828099757 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (828100033) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31849988 + ... + 31850013.

It is an arithmetic number, because the mean of its divisors is an integer number (222950007).

Almost surely, 2^828100013 is an apocalyptic number.

It is an amenable number.

828100013 is a deficient number, since it is larger than the sum of its proper divisors (63700015).

828100013 is a wasteful number, since it uses less digits than its factorization.

828100013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63700014.

The product of its (nonzero) digits is 384, while the sum is 23.

The square root of 828100013 is about 28776.7269334092. The cubic root of 828100013 is about 939.0619935987.

The spelling of 828100013 in words is "eight hundred twenty-eight million, one hundred thousand, thirteen".