8129837400813 has 72 divisors (see below), whose sum is σ = 12528528358528. Its totient is φ = 5268187317600.

The previous prime is 8129837400781. The next prime is 8129837400823. The reversal of 8129837400813 is 3180047389218.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

8129837400813 is a `hidden beast` number, since 8 + 129 + 8 + 37 + 400 + 81 + 3 = 666.

It is not a de Polignac number, because 8129837400813 - 2⁵ = 8129837400781 is a prime.

It is a super-2 number, since 2×8129837400813² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8129837400813.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8129837400823) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29999399868 + ... + 29999400138.

Almost surely, 2^{8129837400813} is an apocalyptic number.

It is an amenable number.

8129837400813 is a deficient number, since it is larger than the sum of its proper divisors (4398690957715).

8129837400813 is an frugal number, since it uses more digits than its factorization.

8129837400813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 910 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 8129837400813 in words is "eight trillion, one hundred twenty-nine billion, eight hundred thirty-seven million, four hundred thousand, eight hundred thirteen".