413023122450153 has 16 divisors (see below), whose sum is σ = 611886644886400. Its totient is φ = 275348506401360.

The previous prime is 413023122450131. The next prime is 413023122450163. The reversal of 413023122450153 is 351054221320314.

413023122450153 is a `hidden beast` number, since 4 + 1 + 3 + 0 + 2 + 31 + 22 + 450 + 153 = 666.

It is not a de Polignac number, because 413023122450153 - 2³² = 413018827482857 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (413023122450163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27809343 + ... + 39992571.

It is an arithmetic number, because the mean of its divisors is an integer number (38242915305400).

Almost surely, 2^{413023122450153} is an apocalyptic number.

It is an amenable number.

413023122450153 is a deficient number, since it is larger than the sum of its proper divisors (198863522436247).

413023122450153 is a wasteful number, since it uses less digits than its factorization.

413023122450153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13438829 (or 13438823 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 413023122450153 its reverse (351054221320314), we get a palindrome (764077343770467).

The spelling of 413023122450153 in words is "four hundred thirteen trillion, twenty-three billion, one hundred twenty-two million, four hundred fifty thousand, one hundred fifty-three".