4597126216281 has 45 divisors (see below), whose sum is σ = 7058160881499. Its totient is φ = 2883304965888.

The previous prime is 4597126216261. The next prime is 4597126216307. The reversal of 4597126216281 is 1826126217954.

The square root of 4597126216281 is 2144091.

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

4597126216281 is a `hidden beast` number, since 4 + 5 + 9 + 7 + 1 + 2 + 6 + 2 + 1 + 628 + 1 = 666.

4597126216281 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 17594696025 + 4579531520256 = 132645^2 + 2139984^2 .

It is not a de Polignac number, because 4597126216281 - 2¹³ = 4597126208089 is a prime.

It is a super-2 number, since 2×4597126216281² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4597126216211) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1858925661 + ... + 1858928133.

Almost surely, 2^{4597126216281} is an apocalyptic number.

4597126216281 is the 2144091-st square number.

4597126216281 is the 1072046-th centered octagonal number.

It is an amenable number.

4597126216281 is a deficient number, since it is larger than the sum of its proper divisors (2461034665218).

4597126216281 is an frugal number, since it uses more digits than its factorization.

4597126216281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5020 (or 2493 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 54.

The spelling of 4597126216281 in words is "four trillion, five hundred ninety-seven billion, one hundred twenty-six million, two hundred sixteen thousand, two hundred eighty-one".