6580541201 has 16 divisors (see below), whose sum is σ = 7398155520. Its totient is φ = 5807651520.

The previous prime is 6580541167. The next prime is 6580541239. The reversal of 6580541201 is 1021450856.

It is a cyclic number.

It is not a de Polignac number, because 6580541201 - 2²² = 6576346897 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6580541701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1031660 + ... + 1038018.

It is an arithmetic number, because the mean of its divisors is an integer number (462384720).

Almost surely, 2^6580541201 is an apocalyptic number.

It is an amenable number.

6580541201 is a deficient number, since it is larger than the sum of its proper divisors (817614319).

6580541201 is a wasteful number, since it uses less digits than its factorization.

6580541201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9856.

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 6580541201 is about 81120.5350142613. The cubic root of 6580541201 is about 1873.9321873501.

The spelling of 6580541201 in words is "six billion, five hundred eighty million, five hundred forty-one thousand, two hundred one".