4705607601 has 20 divisors (see below), whose sum is σ = 7065070452. Its totient is φ = 3121136928.

The previous prime is 4705607593. The next prime is 4705607609. The reversal of 4705607601 is 1067065074.

4705607601 is a `hidden beast` number, since 47 + 0 + 5 + 6 + 0 + 7 + 601 = 666.

It is an interprime number because it is at equal distance from previous prime (4705607593) and next prime (4705607609).

It can be written as a sum of positive squares in 2 ways, for example, as 4070567601 + 635040000 = 63801^2 + 25200^2 .

It is not a de Polignac number, because 4705607601 - 2³ = 4705607593 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4705607609) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 131490 + ... + 163403.

Almost surely, 2^4705607601 is an apocalyptic number.

It is an amenable number.

4705607601 is a deficient number, since it is larger than the sum of its proper divisors (2359462851).

4705607601 is a wasteful number, since it uses less digits than its factorization.

4705607601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295102 (or 295093 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 4705607601 is about 68597.4314460826. The cubic root of 4705607601 is about 1675.7345973353.

The spelling of 4705607601 in words is "four billion, seven hundred five million, six hundred seven thousand, six hundred one".