1313052480 has 84 divisors (see below), whose sum is σ = 4516363332. Its totient is φ = 350146560.

The previous prime is 1313052479. The next prime is 1313052491. The reversal of 1313052480 is 842503131.

It is a happy number.

1313052480 is a `hidden beast` number, since 1 + 3 + 130 + 52 + 480 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 756470016 + 556582464 = 27504^2 + 23592^2 .

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 225081 + ... + 230840.

Almost surely, 2^1313052480 is an apocalyptic number.

1313052480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1313052480 is an abundant number, since it is smaller than the sum of its proper divisors (3203310852).

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

1313052480 is a wasteful number, since it uses less digits than its factorization.

1313052480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455944 (or 455931 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 1313052480 is about 36236.0660116409. The cubic root of 1313052480 is about 1095.0333886110.

The spelling of 1313052480 in words is "one billion, three hundred thirteen million, fifty-two thousand, four hundred eighty".