210523013 has 2 divisors, whose sum is σ = 210523014. Its totient is φ = 210523012.

The previous prime is 210522997. The next prime is 210523037. The reversal of 210523013 is 310325012.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 206267044 + 4255969 = 14362^2 + 2063^2 .

It is a cyclic number.

It is not a de Polignac number, because 210523013 - 2⁴ = 210522997 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210522982 and 210523000.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210523043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105261506 + 105261507.

It is an arithmetic number, because the mean of its divisors is an integer number (105261507).

Almost surely, 2^210523013 is an apocalyptic number.

It is an amenable number.

210523013 is a deficient number, since it is larger than the sum of its proper divisors (1).

210523013 is an equidigital number, since it uses as much as digits as its factorization.

210523013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 180, while the sum is 17.

The square root of 210523013 is about 14509.4111872260. The cubic root of 210523013 is about 594.8852383237.

Adding to 210523013 its reverse (310325012), we get a palindrome (520848025).

The spelling of 210523013 in words is "two hundred ten million, five hundred twenty-three thousand, thirteen".