6413723266509 has 32 divisors (see below), whose sum is σ = 10400470438400. Its totient is φ = 3882203225280.

The previous prime is 6413723266501. The next prime is 6413723266529. The reversal of 6413723266509 is 9056623273146.

6413723266509 is a `hidden beast` number, since 6 + 4 + 1 + 3 + 72 + 3 + 2 + 66 + 509 = 666.

It is not a de Polignac number, because 6413723266509 - 2³ = 6413723266501 is a prime.

It is a super-2 number, since 2×6413723266509² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6413723266501) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 149754949 + ... + 149797770.

It is an arithmetic number, because the mean of its divisors is an integer number (325014701200).

Almost surely, 2^{6413723266509} is an apocalyptic number.

It is an amenable number.

6413723266509 is a deficient number, since it is larger than the sum of its proper divisors (3986747171891).

6413723266509 is a wasteful number, since it uses less digits than its factorization.

6413723266509 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 299552802 (or 299552796 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 54.

The spelling of 6413723266509 in words is "six trillion, four hundred thirteen billion, seven hundred twenty-three million, two hundred sixty-six thousand, five hundred nine".