1005332001315 has 96 divisors (see below), whose sum is σ = 1710984038400. Its totient is φ = 503747650560.

The previous prime is 1005332001313. The next prime is 1005332001337. The reversal of 1005332001315 is 5131002335001.

It is not a de Polignac number, because 1005332001315 - 2¹ = 1005332001313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1005332001313) 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 in 95 ways as a sum of consecutive naturals, for example, 216710766 + ... + 216715404.

It is an arithmetic number, because the mean of its divisors is an integer number (17822750400).

Almost surely, 2^{1005332001315} is an apocalyptic number.

1005332001315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1005332001315 is a deficient number, since it is larger than the sum of its proper divisors (705652037085).

1005332001315 is a wasteful number, since it uses less digits than its factorization.

1005332001315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5165 (or 5136 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 24.

Adding to 1005332001315 its reverse (5131002335001), we get a palindrome (6136334336316).

The spelling of 1005332001315 in words is "one trillion, five billion, three hundred thirty-two million, one thousand, three hundred fifteen".