4963061601 has 27 divisors (see below), whose sum is σ = 7501455507. Its totient is φ = 3161751120.

The previous prime is 4963061561. The next prime is 4963061627. The reversal of 4963061601 is 1061603694.

The square root of 4963061601 is 70449.

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

4963061601 is a `hidden beast` number, since 4 + 9 + 6 + 30 + 616 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2889170001 + 2073891600 = 53751^2 + 45540^2 .

It is not a de Polignac number, because 4963061601 - 2¹⁹ = 4962537313 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4963061671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4860471 + ... + 4861491.

Almost surely, 2^4963061601 is an apocalyptic number.

4963061601 is the 70449-th square number.

4963061601 is the 35225-th centered octagonal number.

It is an amenable number.

4963061601 is a deficient number, since it is larger than the sum of its proper divisors (2538393906).

4963061601 is an equidigital number, since it uses as much as digits as its factorization.

4963061601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2094 (or 1047 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The cubic root of 4963061601 is about 1705.7546160144.

Multiplying 4963061601 by its sum of digits (36), we get a square (178670217636 = 422694²).

The spelling of 4963061601 in words is "four billion, nine hundred sixty-three million, sixty-one thousand, six hundred one".