1005360712513 has 12 divisors (see below), whose sum is σ = 1034282435760. Its totient is φ = 977227495632.

The previous prime is 1005360712507. The next prime is 1005360712519. The reversal of 1005360712513 is 3152170635001.

It is an interprime number because it is at equal distance from previous prime (1005360712507) and next prime (1005360712519).

It is not a de Polignac number, because 1005360712513 - 2⁵ = 1005360712481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005360712519) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1034670 + ... + 1755352.

It is an arithmetic number, because the mean of its divisors is an integer number (86190202980).

Almost surely, 2^{1005360712513} is an apocalyptic number.

It is an amenable number.

1005360712513 is a deficient number, since it is larger than the sum of its proper divisors (28921723247).

1005360712513 is an equidigital number, since it uses as much as digits as its factorization.

1005360712513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 721776 (or 721739 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

The spelling of 1005360712513 in words is "one trillion, five billion, three hundred sixty million, seven hundred twelve thousand, five hundred thirteen".