1005335521213 has 2 divisors, whose sum is σ = 1005335521214. Its totient is φ = 1005335521212.

The previous prime is 1005335521181. The next prime is 1005335521241. The reversal of 1005335521213 is 3121255335001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 999094205209 + 6241316004 = 999547^2 + 79002^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005335521213 - 2⁵ = 1005335521181 is a prime.

It is a super-2 number, since 2×1005335521213² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1005335581213) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502667760606 + 502667760607.

It is an arithmetic number, because the mean of its divisors is an integer number (502667760607).

Almost surely, 2^{1005335521213} is an apocalyptic number.

It is an amenable number.

1005335521213 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005335521213 is an equidigital number, since it uses as much as digits as its factorization.

1005335521213 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13500, while the sum is 31.

The spelling of 1005335521213 in words is "one trillion, five billion, three hundred thirty-five million, five hundred twenty-one thousand, two hundred thirteen".