1313058978 has 192 divisors, whose sum is σ = 3737923200. Its totient is φ = 337841280.

The previous prime is 1313058959. The next prime is 1313058979. The reversal of 1313058978 is 8798503131.

1313058978 is a `hidden beast` number, since 1 + 31 + 30 + 589 + 7 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (1313058979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5733768 + ... + 5733996.

It is an arithmetic number, because the mean of its divisors is an integer number (19468350).

Almost surely, 2^1313058978 is an apocalyptic number.

1313058978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1313058978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1868961600).

1313058978 is an abundant number, since it is smaller than the sum of its proper divisors (2424864222).

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

1313058978 is a wasteful number, since it uses less digits than its factorization.

1313058978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1313058978 is about 36236.1556735810. The cubic root of 1313058978 is about 1095.0351949656.

The spelling of 1313058978 in words is "one billion, three hundred thirteen million, fifty-eight thousand, nine hundred seventy-eight".