4583028921601 has 9 divisors (see below), whose sum is σ = 4962718258281. Its totient is φ = 4230462545712.

The previous prime is 4583028921599. The next prime is 4583028921607. The reversal of 4583028921601 is 1061298203854.

The square root of 4583028921601 is 2140801.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3600120001 + 4579428801600 = 60001^2 + 2139960^2 .

It is not a de Polignac number, because 4583028921601 - 2¹ = 4583028921599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4583028921607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 27748075 + ... + 27912751.

It is an arithmetic number, because the mean of its divisors is an integer number (551413139809).

Almost surely, 2^{4583028921601} is an apocalyptic number.

4583028921601 is the 2140801-st square number.

4583028921601 is the 1070401-st centered octagonal number.

It is an amenable number.

4583028921601 is a deficient number, since it is larger than the sum of its proper divisors (379689336680).

4583028921601 is an frugal number, since it uses more digits than its factorization.

4583028921601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329380 (or 164690 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 49.

Multiplying 4583028921601 by its sum of digits (49), we get a square (224568417158449 = 14985607²).

The spelling of 4583028921601 in words is "four trillion, five hundred eighty-three billion, twenty-eight million, nine hundred twenty-one thousand, six hundred one".