5018948570601 has 27 divisors (see below), whose sum is σ = 8433278350263. Its totient is φ = 2867943728160.

The previous prime is 5018948570599. The next prime is 5018948570633. The reversal of 5018948570601 is 1060758498105.

It is a happy number.

The square root of 5018948570601 is 2240301.

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

5018948570601 is a `hidden beast` number, since 5 + 0 + 1 + 8 + 9 + 4 + 8 + 570 + 60 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 78820001001 + 4940128569600 = 280749^2 + 2222640^2 .

It is not a de Polignac number, because 5018948570601 - 2¹ = 5018948570599 is a prime.

It is a super-3 number, since 3×5018948570601³ (a number of 39 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5018948550601) 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, 46992981 + ... + 47099661.

Almost surely, 2^{5018948570601} is an apocalyptic number.

5018948570601 is the 2240301-st square number.

5018948570601 is the 1120151-st centered octagonal number.

It is an amenable number.

5018948570601 is a deficient number, since it is larger than the sum of its proper divisors (3414329779662).

5018948570601 is an frugal number, since it uses more digits than its factorization.

5018948570601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213382 (or 106691 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 54.

The spelling of 5018948570601 in words is "five trillion, eighteen billion, nine hundred forty-eight million, five hundred seventy thousand, six hundred one".