13250514816 has 1024 divisors, whose sum is σ = 53934336000. Its totient is φ = 3096576000.

The previous prime is 13250514763. The next prime is 13250514829. The reversal of 13250514816 is 61841505231.

13250514816 is a `hidden beast` number, since 1 + 3 + 2 + 505 + 148 + 1 + 6 = 666.

It is a super-2 number, since 2×13250514816² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 131193166 + ... + 131193266.

It is an arithmetic number, because the mean of its divisors is an integer number (52670250).

Almost surely, 2^13250514816 is an apocalyptic number.

13250514816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13250514816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26967168000).

13250514816 is an abundant number, since it is smaller than the sum of its proper divisors (40683821184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13250514816 is a wasteful number, since it uses less digits than its factorization.

13250514816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 13250514816 in words is "thirteen billion, two hundred fifty million, five hundred fourteen thousand, eight hundred sixteen".