4933289652201 has 81 divisors (see below), whose sum is σ = 7865306875621. Its totient is φ = 3093478397568.

The previous prime is 4933289652191. The next prime is 4933289652211. The reversal of 4933289652201 is 1022569823394.

The square root of 4933289652201 is 2221101.

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

4933289652201 is a `hidden beast` number, since 4 + 9 + 3 + 3 + 28 + 96 + 522 + 0 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (4933289652191) and next prime (4933289652211).

It can be written as a sum of positive squares in 4 ways, for example, as 826101027801 + 4107188624400 = 908901^2 + 2026620^2 .

It is a tau number, because it is divible by the number of its divisors (81).

It is not a de Polignac number, because 4933289652201 - 2⁵ = 4933289652169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4933289652211) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3058455271 + ... + 3058456883.

Almost surely, 2^{4933289652201} is an apocalyptic number.

4933289652201 is the 2221101-st square number.

4933289652201 is the 1110551-st centered octagonal number.

It is an amenable number.

4933289652201 is a deficient number, since it is larger than the sum of its proper divisors (2932017223420).

4933289652201 is an frugal number, since it uses more digits than its factorization.

4933289652201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3284 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 4933289652201 in words is "four trillion, nine hundred thirty-three billion, two hundred eighty-nine million, six hundred fifty-two thousand, two hundred one".