1005555515513 has 2 divisors, whose sum is σ = 1005555515514. Its totient is φ = 1005555515512.

The previous prime is 1005555515507. The next prime is 1005555515561. The reversal of 1005555515513 is 3155155555001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 976624227049 + 28931288464 = 988243^2 + 170092^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005555515513 - 2¹⁴ = 1005555499129 is a prime.

It is a super-3 number, since 3×1005555515513³ (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (1005555515563) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 502777757756 + 502777757757.

It is an arithmetic number, because the mean of its divisors is an integer number (502777757757).

Almost surely, 2^{1005555515513} is an apocalyptic number.

It is an amenable number.

1005555515513 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005555515513 is an equidigital number, since it uses as much as digits as its factorization.

1005555515513 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 234375, while the sum is 41.

The spelling of 1005555515513 in words is "one trillion, five billion, five hundred fifty-five million, five hundred fifteen thousand, five hundred thirteen".