1313649792 has 256 divisors, whose sum is σ = 4772947200. Its totient is φ = 346374144.

The previous prime is 1313649751. The next prime is 1313649803. The reversal of 1313649792 is 2979463131.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312408 + ... + 316584.

It is an arithmetic number, because the mean of its divisors is an integer number (18644325).

Almost surely, 2^1313649792 is an apocalyptic number.

1313649792 is a gapful number since it is divisible by the number (12) 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 1313649792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2386473600).

1313649792 is an abundant number, since it is smaller than the sum of its proper divisors (3459297408).

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

1313649792 is a wasteful number, since it uses less digits than its factorization.

1313649792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4220 (or 4202 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The square root of 1313649792 is about 36244.3070288287. The cubic root of 1313649792 is about 1095.1994082327.

The spelling of 1313649792 in words is "one billion, three hundred thirteen million, six hundred forty-nine thousand, seven hundred ninety-two".