4013054634121 has 9 divisors (see below), whose sum is σ = 4345525229781. Its totient is φ = 3704334084672.

The previous prime is 4013054634077. The next prime is 4013054634137. The reversal of 4013054634121 is 1214364503104.

The square root of 4013054634121 is 2003261.

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 3279941945721 + 733112688400 = 1811061^2 + 856220^2 .

It is not a de Polignac number, because 4013054634121 - 2⁷ = 4013054633993 is a prime.

It is a super-2 number, since 2×4013054634121² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4013054638121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 25965345 + ... + 26119441.

Almost surely, 2^{4013054634121} is an apocalyptic number.

4013054634121 is the 2003261-st square number.

4013054634121 is the 1001631-st centered octagonal number.

It is an amenable number.

4013054634121 is a deficient number, since it is larger than the sum of its proper divisors (332470595660).

4013054634121 is an frugal number, since it uses more digits than its factorization.

4013054634121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 308220 (or 154110 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The spelling of 4013054634121 in words is "four trillion, thirteen billion, fifty-four million, six hundred thirty-four thousand, one hundred twenty-one".