53213532013 has 2 divisors, whose sum is σ = 53213532014. Its totient is φ = 53213532012.

The previous prime is 53213532011. The next prime is 53213532061. The reversal of 53213532013 is 31023531235.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 48817576809 + 4395955204 = 220947^2 + 66302^2 .

It is a cyclic number.

It is not a de Polignac number, because 53213532013 - 2¹ = 53213532011 is a prime.

It is a super-3 number, since 3×53213532013³ (a number of 33 digits) contains 333 as substring.

Together with 53213532011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53213532011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26606766006 + 26606766007.

It is an arithmetic number, because the mean of its divisors is an integer number (26606766007).

Almost surely, 2^53213532013 is an apocalyptic number.

It is an amenable number.

53213532013 is a deficient number, since it is larger than the sum of its proper divisors (1).

53213532013 is an equidigital number, since it uses as much as digits as its factorization.

53213532013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8100, while the sum is 28.

The spelling of 53213532013 in words is "fifty-three billion, two hundred thirteen million, five hundred thirty-two thousand, thirteen".