6531341811201 has 15 divisors (see below), whose sum is σ = 9756730151443. Its totient is φ = 4354212540240.

The previous prime is 6531341811191. The next prime is 6531341811209. The reversal of 6531341811201 is 1021181431356.

The square root of 6531341811201 is 2555649.

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

6531341811201 is a `hidden beast` number, since 6 + 5 + 31 + 3 + 418 + 1 + 1 + 201 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1570387428801 + 4960954382400 = 1253151^2 + 2227320^2 .

It is not a de Polignac number, because 6531341811201 - 2¹³ = 6531341803009 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6531341811209) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 22858861 + ... + 23142821.

Almost surely, 2^{6531341811201} is an apocalyptic number.

6531341811201 is the 2555649-th square number.

6531341811201 is the 1277825-th centered octagonal number.

It is an amenable number.

6531341811201 is a deficient number, since it is larger than the sum of its proper divisors (3225388340242).

6531341811201 is an frugal number, since it uses more digits than its factorization.

6531341811201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567934 (or 283964 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

Multiplying 6531341811201 by its sum of digits (36), we get a square (235128305203236 = 15333894²).

The spelling of 6531341811201 in words is "six trillion, five hundred thirty-one billion, three hundred forty-one million, eight hundred eleven thousand, two hundred one".