1006512302656 has 56 divisors (see below), whose sum is σ = 2282814449856. Its totient is φ = 431326824960.

The previous prime is 1006512302611. The next prime is 1006512302713. The reversal of 1006512302656 is 6562032156001.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 5754411 + ... + 5926741.

Almost surely, 2^{1006512302656} is an apocalyptic number.

1006512302656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1006512302656 is an abundant number, since it is smaller than the sum of its proper divisors (1276302147200).

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

1006512302656 is a wasteful number, since it uses less digits than its factorization.

1006512302656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185387 (or 185377 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 37.

Adding to 1006512302656 its reverse (6562032156001), we get a palindrome (7568544458657).

The spelling of 1006512302656 in words is "one trillion, six billion, five hundred twelve million, three hundred two thousand, six hundred fifty-six".