53020144013 has 2 divisors, whose sum is σ = 53020144014. Its totient is φ = 53020144012.

The previous prime is 53020143923. The next prime is 53020144027. The reversal of 53020144013 is 31044102035.

53020144013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 41338209124 + 11681934889 = 203318^2 + 108083^2 .

It is a cyclic number.

It is not a de Polignac number, because 53020144013 - 2¹⁶ = 53020078477 is a prime.

It is a super-2 number, since 2×53020144013² (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 53020144013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (53020144213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 26510072006 + 26510072007.

It is an arithmetic number, because the mean of its divisors is an integer number (26510072007).

Almost surely, 2^53020144013 is an apocalyptic number.

It is an amenable number.

53020144013 is a deficient number, since it is larger than the sum of its proper divisors (1).

53020144013 is an equidigital number, since it uses as much as digits as its factorization.

53020144013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 23.

Adding to 53020144013 its reverse (31044102035), we get a palindrome (84064246048).

The spelling of 53020144013 in words is "fifty-three billion, twenty million, one hundred forty-four thousand, thirteen".