413025121242001 has 8 divisors (see below), whose sum is σ = 427279486513320. Its totient is φ = 398771563951488.

The previous prime is 413025121241963. The next prime is 413025121242101. The reversal of 413025121242001 is 100242121520314.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 17092767235600 + 395932354006401 = 4134340^2 + 19898049^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 413025121242001 - 2¹⁷ = 413025121110929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413025121242101) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 200955106 + ... + 203000011.

It is an arithmetic number, because the mean of its divisors is an integer number (53409935814165).

Almost surely, 2^{413025121242001} is an apocalyptic number.

It is an amenable number.

413025121242001 is a deficient number, since it is larger than the sum of its proper divisors (14254365271319).

413025121242001 is a wasteful number, since it uses less digits than its factorization.

413025121242001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403990403.

The product of its (nonzero) digits is 3840, while the sum is 28.

Adding to 413025121242001 its reverse (100242121520314), we get a palindrome (513267242762315).

The spelling of 413025121242001 in words is "four hundred thirteen trillion, twenty-five billion, one hundred twenty-one million, two hundred forty-two thousand, one".