4791598001 has 2 divisors, whose sum is σ = 4791598002. Its totient is φ = 4791598000.

The previous prime is 4791597991. The next prime is 4791598003. The reversal of 4791598001 is 1008951974.

4791598001 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4580040976 + 211557025 = 67676^2 + 14545^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-4791598001 is a prime.

It is a super-2 number, since 2×4791598001² = 45918822806374392002, which contains 22 as substring.

Together with 4791598003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4791598003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2395799000 + 2395799001.

It is an arithmetic number, because the mean of its divisors is an integer number (2395799001).

Almost surely, 2^4791598001 is an apocalyptic number.

It is an amenable number.

4791598001 is a deficient number, since it is larger than the sum of its proper divisors (1).

4791598001 is an equidigital number, since it uses as much as digits as its factorization.

4791598001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 90720, while the sum is 44.

The square root of 4791598001 is about 69221.3695400488. The cubic root of 4791598001 is about 1685.8805168225.

The spelling of 4791598001 in words is "four billion, seven hundred ninety-one million, five hundred ninety-eight thousand, one".