210034252513 has 2 divisors, whose sum is σ = 210034252514. Its totient is φ = 210034252512.

The previous prime is 210034252511. The next prime is 210034252531. The reversal of 210034252513 is 315252430012.

Together with next prime (210034252531) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 161481011409 + 48553241104 = 401847^2 + 220348^2 .

It is a cyclic number.

It is not a de Polignac number, because 210034252513 - 2¹ = 210034252511 is a prime.

It is a super-2 number, since 2×210034252513² (a number of 23 digits) contains 22 as substring.

Together with 210034252511, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (210034252511) 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 as a sum of consecutive naturals, namely, 105017126256 + 105017126257.

It is an arithmetic number, because the mean of its divisors is an integer number (105017126257).

Almost surely, 2^210034252513 is an apocalyptic number.

It is an amenable number.

210034252513 is a deficient number, since it is larger than the sum of its proper divisors (1).

210034252513 is an equidigital number, since it uses as much as digits as its factorization.

210034252513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7200, while the sum is 28.

Adding to 210034252513 its reverse (315252430012), we get a palindrome (525286682525).

The spelling of 210034252513 in words is "two hundred ten billion, thirty-four million, two hundred fifty-two thousand, five hundred thirteen".