1321509168 has 400 divisors, whose sum is σ = 4670685184. Its totient is φ = 352719360.

The previous prime is 1321509157. The next prime is 1321509173. The reversal of 1321509168 is 8619051231.

1321509168 is a `hidden beast` number, since 132 + 1 + 509 + 16 + 8 = 666.

It is a super-2 number, since 2×1321509168² = 3492772962216104448, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 10405521 + ... + 10405647.

Almost surely, 2^1321509168 is an apocalyptic number.

1321509168 is a gapful number since it is divisible by the number (18) 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 1321509168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2335342592).

1321509168 is an abundant number, since it is smaller than the sum of its proper divisors (3349176016).

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

1321509168 is a wasteful number, since it uses less digits than its factorization.

1321509168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 1321509168 is about 36352.5675571891. The cubic root of 1321509168 is about 1097.3792065451.

The spelling of 1321509168 in words is "one billion, three hundred twenty-one million, five hundred nine thousand, one hundred sixty-eight".