413314032505141 has 8 divisors (see below), whose sum is σ = 425042313404184. Its totient is φ = 401664201646080.

The previous prime is 413314032505117. The next prime is 413314032505183. The reversal of 413314032505141 is 141505230413314.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 185080950966916 + 228233081538225 = 13604446^2 + 15107385^2 .

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 413314032505141 - 2¹³ = 413314032496949 is a prime.

It is a super-2 number, since 2×413314032505141² (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 413314032505141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (413314032502141) 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, 19612499310 + ... + 19612520383.

It is an arithmetic number, because the mean of its divisors is an integer number (53130289175523).

Almost surely, 2^{413314032505141} is an apocalyptic number.

413314032505141 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

413314032505141 is a deficient number, since it is larger than the sum of its proper divisors (11728280899043).

413314032505141 is a wasteful number, since it uses less digits than its factorization.

413314032505141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39225019991.

The product of its (nonzero) digits is 86400, while the sum is 37.

Adding to 413314032505141 its reverse (141505230413314), we get a palindrome (554819262918455).

The spelling of 413314032505141 in words is "four hundred thirteen trillion, three hundred fourteen billion, thirty-two million, five hundred five thousand, one hundred forty-one".