1000516617056 has 48 divisors (see below), whose sum is σ = 2150701389648. Its totient is φ = 454385664000.

The previous prime is 1000516617043. The next prime is 1000516617071. The reversal of 1000516617056 is 6507166150001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 826745 + ... + 1638456.

It is an arithmetic number, because the mean of its divisors is an integer number (44806278951).

Almost surely, 2^{1000516617056} is an apocalyptic number.

1000516617056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1000516617056 is an abundant number, since it is smaller than the sum of its proper divisors (1150184772592).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1000516617056 is a wasteful number, since it uses less digits than its factorization.

1000516617056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2466375 (or 2466367 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 38.

The spelling of 1000516617056 in words is "one trillion, five hundred sixteen million, six hundred seventeen thousand, fifty-six".