1005051000560 has 40 divisors (see below), whose sum is σ = 2337038507760. Its totient is φ = 401969659392.

The previous prime is 1005051000559. The next prime is 1005051000607. The reversal of 1005051000560 is 650001505001.

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

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, 151805 + ... + 1425884.

It is an arithmetic number, because the mean of its divisors is an integer number (58425962694).

Almost surely, 2^{1005051000560} is an apocalyptic number.

1005051000560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1005051000560 is an abundant number, since it is smaller than the sum of its proper divisors (1331987507200).

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

1005051000560 is a wasteful number, since it uses less digits than its factorization.

1005051000560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1585665 (or 1585659 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

Adding to 1005051000560 its reverse (650001505001), we get a palindrome (1655052505561).

The spelling of 1005051000560 in words is "one trillion, five billion, fifty-one million, five hundred sixty", and thus it is an aban number.