6312561601 has 16 divisors (see below), whose sum is σ = 6925360464. Its totient is φ = 5729439744.

The previous prime is 6312561599. The next prime is 6312561641. The reversal of 6312561601 is 1061652136.

It can be written as a sum of positive squares in 8 ways, for example, as 1105496001 + 5207065600 = 33249^2 + 72160^2 .

It is a cyclic number.

It is not a de Polignac number, because 6312561601 - 2¹ = 6312561599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6312561641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26671 + ... + 115483.

It is an arithmetic number, because the mean of its divisors is an integer number (432835029).

Almost surely, 2^6312561601 is an apocalyptic number.

It is an amenable number.

6312561601 is a deficient number, since it is larger than the sum of its proper divisors (612798863).

6312561601 is a wasteful number, since it uses less digits than its factorization.

6312561601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88980.

The product of its (nonzero) digits is 6480, while the sum is 31.

The square root of 6312561601 is about 79451.6305748346. The cubic root of 6312561601 is about 1848.1414596312.

The spelling of 6312561601 in words is "six billion, three hundred twelve million, five hundred sixty-one thousand, six hundred one".