1005214415311 has 8 divisors (see below), whose sum is σ = 1006074360720. Its totient is φ = 1004354691648.

The previous prime is 1005214415299. The next prime is 1005214415323. The reversal of 1005214415311 is 1135144125001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1005214415299) and next prime (1005214415323).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1005214415311 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1005214415311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005214415351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9747360 + ... + 9849946.

It is an arithmetic number, because the mean of its divisors is an integer number (125759295090).

Almost surely, 2^{1005214415311} is an apocalyptic number.

1005214415311 is a deficient number, since it is larger than the sum of its proper divisors (859945409).

1005214415311 is a wasteful number, since it uses less digits than its factorization.

1005214415311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110873.

The product of its (nonzero) digits is 2400, while the sum is 28.

The spelling of 1005214415311 in words is "one trillion, five billion, two hundred fourteen million, four hundred fifteen thousand, three hundred eleven".