1013520455993 has 2 divisors, whose sum is σ = 1013520455994. Its totient is φ = 1013520455992.

The previous prime is 1013520455839. The next prime is 1013520456007. The reversal of 1013520455993 is 3995540253101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 929087787664 + 84432668329 = 963892^2 + 290573^2 .

It is a cyclic number.

It is not a de Polignac number, because 1013520455993 - 2¹⁴ = 1013520439609 is a prime.

It is a super-3 number, since 3×1013520455993³ (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (1013520155993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 506760227996 + 506760227997.

It is an arithmetic number, because the mean of its divisors is an integer number (506760227997).

Almost surely, 2^{1013520455993} is an apocalyptic number.

It is an amenable number.

1013520455993 is a deficient number, since it is larger than the sum of its proper divisors (1).

1013520455993 is an equidigital number, since it uses as much as digits as its factorization.

1013520455993 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 729000, while the sum is 47.

The spelling of 1013520455993 in words is "one trillion, thirteen billion, five hundred twenty million, four hundred fifty-five thousand, nine hundred ninety-three".