6735201561 has 48 divisors (see below), whose sum is σ = 10713401088. Its totient is φ = 4043520000.

The previous prime is 6735201547. The next prime is 6735201589. The reversal of 6735201561 is 1651025376.

6735201561 is a `hidden beast` number, since 6 + 73 + 5 + 20 + 1 + 561 = 666.

It is not a de Polignac number, because 6735201561 - 2⁶ = 6735201497 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6735201521) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8967936 + ... + 8968686.

It is an arithmetic number, because the mean of its divisors is an integer number (223195856).

Almost surely, 2^6735201561 is an apocalyptic number.

It is an amenable number.

6735201561 is a deficient number, since it is larger than the sum of its proper divisors (3978199527).

6735201561 is a wasteful number, since it uses less digits than its factorization.

6735201561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1499 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 6735201561 is about 82068.2737786046. The cubic root of 6735201561 is about 1888.4994632239.

The spelling of 6735201561 in words is "six billion, seven hundred thirty-five million, two hundred one thousand, five hundred sixty-one".