1005116552311 has 8 divisors (see below), whose sum is σ = 1039792802400. Its totient is φ = 970441439520.

The previous prime is 1005116552227. The next prime is 1005116552317. The reversal of 1005116552311 is 1132556115001.

It is a happy number.

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-1005116552311 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005116552317) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1763905 + ... + 2263093.

It is an arithmetic number, because the mean of its divisors is an integer number (129974100300).

Almost surely, 2^{1005116552311} is an apocalyptic number.

1005116552311 is a deficient number, since it is larger than the sum of its proper divisors (34676250089).

1005116552311 is an equidigital number, since it uses as much as digits as its factorization.

1005116552311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568649.

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 1005116552311 in words is "one trillion, five billion, one hundred sixteen million, five hundred fifty-two thousand, three hundred eleven".