6566005901 has 24 divisors (see below), whose sum is σ = 8216312832. Its totient is φ = 5109652800.

The previous prime is 6566005879. The next prime is 6566005981. The reversal of 6566005901 is 1095006656.

It is not a de Polignac number, because 6566005901 - 2⁶ = 6566005837 is a prime.

It is a super-2 number, since 2×6566005901² = 86224866983933643602, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6566005981) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 328916 + ... + 348306.

It is an arithmetic number, because the mean of its divisors is an integer number (342346368).

Almost surely, 2^6566005901 is an apocalyptic number.

6566005901 is a gapful number since it is divisible by the number (61) formed by its first and last digit.

It is an amenable number.

6566005901 is a deficient number, since it is larger than the sum of its proper divisors (1650306931).

6566005901 is a wasteful number, since it uses less digits than its factorization.

6566005901 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19533 (or 19472 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 38.

The square root of 6566005901 is about 81030.8947315775. The cubic root of 6566005901 is about 1872.5514373901.

The spelling of 6566005901 in words is "six billion, five hundred sixty-six million, five thousand, nine hundred one".