4830100667001 has 27 divisors (see below), whose sum is σ = 7363530037071. Its totient is φ = 3050510775984.

The previous prime is 4830100666991. The next prime is 4830100667023. The reversal of 4830100667001 is 1007660010384.

The square root of 4830100667001 is 2197749.

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

4830100667001 is a `hidden beast` number, since 483 + 0 + 100 + 6 + 6 + 70 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1571801301225 + 3258299365776 = 1253715^2 + 1805076^2 .

It is not a de Polignac number, because 4830100667001 - 2⁷ = 4830100666873 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4830100667071) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 125252415 + ... + 125290971.

Almost surely, 2^{4830100667001} is an apocalyptic number.

4830100667001 is the 2197749-th square number.

4830100667001 is the 1098875-th centered octagonal number.

It is an amenable number.

4830100667001 is a deficient number, since it is larger than the sum of its proper divisors (2533429370070).

4830100667001 is an frugal number, since it uses more digits than its factorization.

4830100667001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77158 (or 38579 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

Multiplying 4830100667001 by its sum of digits (36), we get a square (173883624012036 = 13186494²).

Adding to 4830100667001 its reverse (1007660010384), we get a palindrome (5837760677385).

The spelling of 4830100667001 in words is "four trillion, eight hundred thirty billion, one hundred million, six hundred sixty-seven thousand, one".