1005606601056 has 48 divisors (see below), whose sum is σ = 2933019255600. Its totient is φ = 335202200064.

The previous prime is 1005606601037. The next prime is 1005606601073. The reversal of 1005606601056 is 6501066065001.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×1005606601056² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1005606601056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 581947401 + ... + 581949128.

It is an arithmetic number, because the mean of its divisors is an integer number (61104567825).

Almost surely, 2^{1005606601056} is an apocalyptic number.

1005606601056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1005606601056 is an abundant number, since it is smaller than the sum of its proper divisors (1927412654544).

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

1005606601056 is a wasteful number, since it uses less digits than its factorization.

1005606601056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1163896548 (or 1163896534 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 1005606601056 in words is "one trillion, five billion, six hundred six million, six hundred one thousand, fifty-six".