6504261201 has 63 divisors (see below), whose sum is σ = 10198808139. Its totient is φ = 4146003792.

The previous prime is 6504261199. The next prime is 6504261221. The reversal of 6504261201 is 1021624056.

The square root of 6504261201 is 80649.

It is a perfect power (a square), and thus also a powerful number.

6504261201 is a `hidden beast` number, since 6 + 5 + 0 + 42 + 612 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3410676801 + 3093584400 = 58401^2 + 55620^2 .

It is not a de Polignac number, because 6504261201 - 2¹ = 6504261199 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (6504261221) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 63148116 + ... + 63148218.

Almost surely, 2^6504261201 is an apocalyptic number.

6504261201 is the 80649-th square number.

6504261201 is the 40325-th centered octagonal number.

It is an amenable number.

6504261201 is a deficient number, since it is larger than the sum of its proper divisors (3694546938).

6504261201 is an frugal number, since it uses more digits than its factorization.

6504261201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The cubic root of 6504261201 is about 1866.6633093300.

Adding to 6504261201 its reverse (1021624056), we get a palindrome (7525885257).

The spelling of 6504261201 in words is "six billion, five hundred four million, two hundred sixty-one thousand, two hundred one".