20512013 has 8 divisors (see below), whose sum is σ = 22249080. Its totient is φ = 18833920.

The previous prime is 20511977. The next prime is 20512031. The reversal of 20512013 is 31021502.

20512013 = 3202² + 3203².

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 5004169 + 15507844 = 2237^2 + 3938^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20512013 - 2¹⁰ = 20510989 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 (20512073) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14018 + ... + 15411.

It is an arithmetic number, because the mean of its divisors is an integer number (2781135).

Almost surely, 2^20512013 is an apocalyptic number.

20512013 is the 3203-rd centered square number.

It is an amenable number.

20512013 is a deficient number, since it is larger than the sum of its proper divisors (1737067).

20512013 is a wasteful number, since it uses less digits than its factorization.

20512013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29487.

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 20512013 is about 4529.0189886994. The cubic root of 20512013 is about 273.7386331401.

Adding to 20512013 its reverse (31021502), we get a palindrome (51533515).

The spelling of 20512013 in words is "twenty million, five hundred twelve thousand, thirteen".