1005116552312 has 64 divisors (see below), whose sum is σ = 1948127436000. Its totient is φ = 485954371584.

The previous prime is 1005116552227. The next prime is 1005116552317. The reversal of 1005116552312 is 2132556115001.

1005116552312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1005116552312² (a number of 25 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 8045558 + ... + 8169530.

Almost surely, 2^{1005116552312} is an apocalyptic number.

It is an amenable number.

1005116552312 is a deficient number, since it is larger than the sum of its proper divisors (943010883688).

1005116552312 is a wasteful number, since it uses less digits than its factorization.

1005116552312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124320 (or 124316 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 32.

The spelling of 1005116552312 in words is "one trillion, five billion, one hundred sixteen million, five hundred fifty-two thousand, three hundred twelve".