1313484552 has 128 divisors (see below), whose sum is σ = 3822336000. Its totient is φ = 417130560.

The previous prime is 1313484551. The next prime is 1313484577. The reversal of 1313484552 is 2554843131.

1313484552 is a `hidden beast` number, since 13 + 13 + 4 + 84 + 552 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (1313484551) 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 31 ways as a sum of consecutive naturals, for example, 2081277 + ... + 2081907.

It is an arithmetic number, because the mean of its divisors is an integer number (29862000).

Almost surely, 2^1313484552 is an apocalyptic number.

1313484552 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 1313484552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1911168000).

1313484552 is an abundant number, since it is smaller than the sum of its proper divisors (2508851448).

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

1313484552 is a wasteful number, since it uses less digits than its factorization.

1313484552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1078 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

The square root of 1313484552 is about 36242.0274267321. The cubic root of 1313484552 is about 1095.1534857096.

The spelling of 1313484552 in words is "one billion, three hundred thirteen million, four hundred eighty-four thousand, five hundred fifty-two".