4958506553121 has 18 divisors (see below), whose sum is σ = 7872596723810. Its totient is φ = 3005155486080.

The previous prime is 4958506553047. The next prime is 4958506553129. The reversal of 4958506553121 is 1213556058594.

4958506553121 is a `hidden beast` number, since 4 + 9 + 5 + 8 + 506 + 5 + 5 + 3 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2742683771025 + 2215822782096 = 1656105^2 + 1488564^2 .

It is not a de Polignac number, because 4958506553121 - 2²¹ = 4958504455969 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4958506553129) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2276631856 + ... + 2276634033.

Almost surely, 2^{4958506553121} is an apocalyptic number.

It is an amenable number.

4958506553121 is a deficient number, since it is larger than the sum of its proper divisors (2914090170689).

4958506553121 is a wasteful number, since it uses less digits than its factorization.

4958506553121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4553265917 (or 4553265903 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 4958506553121 in words is "four trillion, nine hundred fifty-eight billion, five hundred six million, five hundred fifty-three thousand, one hundred twenty-one".