405113401525401 has 24 divisors (see below), whose sum is σ = 586913493783240. Its totient is φ = 269268087384576.

The previous prime is 405113401525267. The next prime is 405113401525411. The reversal of 405113401525401 is 104525104311504.

405113401525401 is a `hidden beast` number, since 4 + 0 + 51 + 1 + 3 + 40 + 1 + 525 + 40 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 44354281329801 + 360759120195600 = 6659901^2 + 18993660^2 .

It is not a de Polignac number, because 405113401525401 - 2³⁰ = 405112327783577 is a prime.

It is not an unprimeable number, because it can be changed into a prime (405113401525411) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 134353951 + ... + 137336123.

It is an arithmetic number, because the mean of its divisors is an integer number (24454728907635).

Almost surely, 2^{405113401525401} is an apocalyptic number.

It is an amenable number.

405113401525401 is a deficient number, since it is larger than the sum of its proper divisors (181800092257839).

405113401525401 is a wasteful number, since it uses less digits than its factorization.

405113401525401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027305 (or 3027302 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

Adding to 405113401525401 its reverse (104525104311504), we get a palindrome (509638505836905).

The spelling of 405113401525401 in words is "four hundred five trillion, one hundred thirteen billion, four hundred one million, five hundred twenty-five thousand, four hundred one".