1005515371073 has 2 divisors, whose sum is σ = 1005515371074. Its totient is φ = 1005515371072.

The previous prime is 1005515371067. The next prime is 1005515371111. The reversal of 1005515371073 is 3701735155001.

It is an a-pointer prime, because the next prime (1005515371111) can be obtained adding 1005515371073 to its sum of digits (38).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 859508847409 + 146006523664 = 927097^2 + 382108^2 .

It is a cyclic number.

It is not a de Polignac number, because 1005515371073 - 2⁴ = 1005515371057 is a prime.

It is a super-2 number, since 2×1005515371073² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1005515371043) 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, 502757685536 + 502757685537.

It is an arithmetic number, because the mean of its divisors is an integer number (502757685537).

Almost surely, 2^{1005515371073} is an apocalyptic number.

It is an amenable number.

1005515371073 is a deficient number, since it is larger than the sum of its proper divisors (1).

1005515371073 is an equidigital number, since it uses as much as digits as its factorization.

1005515371073 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 55125, while the sum is 38.

The spelling of 1005515371073 in words is "one trillion, five billion, five hundred fifteen million, three hundred seventy-one thousand, seventy-three".