1317534816 has 216 divisors, whose sum is σ = 3992446584. Its totient is φ = 380190720.

The previous prime is 1317534797. The next prime is 1317534821. The reversal of 1317534816 is 6184357131.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4688596 + ... + 4688876.

It is an arithmetic number, because the mean of its divisors is an integer number (18483549).

Almost surely, 2^1317534816 is an apocalyptic number.

1317534816 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 1317534816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1996223292).

1317534816 is an abundant number, since it is smaller than the sum of its proper divisors (2674911768).

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

1317534816 is a wasteful number, since it uses less digits than its factorization.

1317534816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 316 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 1317534816 is about 36297.8624164013. The cubic root of 1317534816 is about 1096.2780032519.

The spelling of 1317534816 in words is "one billion, three hundred seventeen million, five hundred thirty-four thousand, eight hundred sixteen".