505601006000 has 40 divisors (see below), whose sum is σ = 1222543237344. Its totient is φ = 202240401600.

The previous prime is 505601005981. The next prime is 505601006047. The reversal of 505601006000 is 600106505.

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

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, 126398252 + ... + 126402251.

Almost surely, 2^505601006000 is an apocalyptic number.

505601006000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

505601006000 is an abundant number, since it is smaller than the sum of its proper divisors (716942231344).

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

505601006000 is a wasteful number, since it uses less digits than its factorization.

505601006000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252800526 (or 252800510 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The spelling of 505601006000 in words is "five hundred five billion, six hundred one million, six thousand".