1312652416 has 64 divisors (see below), whose sum is σ = 2776032000. Its totient is φ = 616124416.

The previous prime is 1312652401. The next prime is 1312652479. The reversal of 1312652416 is 6142562131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1564125 + ... + 1564963.

It is an arithmetic number, because the mean of its divisors is an integer number (43375500).

Almost surely, 2^1312652416 is an apocalyptic number.

1312652416 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 1312652416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1388016000).

1312652416 is an abundant number, since it is smaller than the sum of its proper divisors (1463379584).

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

1312652416 is an equidigital number, since it uses as much as digits as its factorization.

1312652416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1589 (or 1577 counting only the distinct ones).

The product of its digits is 8640, while the sum is 31.

The square root of 1312652416 is about 36230.5453450538. The cubic root of 1312652416 is about 1094.9221648420.

The spelling of 1312652416 in words is "one billion, three hundred twelve million, six hundred fifty-two thousand, four hundred sixteen".