1313474500 has 96 divisors (see below), whose sum is σ = 3103158240. Its totient is φ = 482803200.

The previous prime is 1313474497. The next prime is 1313474521. The reversal of 1313474500 is 54743131.

1313474500 = 53² + 54² + ... + 1579².

It can be written as a sum of positive squares in 16 ways, for example, as 853457796 + 460016704 = 29214^2 + 21448^2 .

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 31 ways as a sum of consecutive naturals, for example, 2580246 + ... + 2580754.

It is an arithmetic number, because the mean of its divisors is an integer number (32324565).

Almost surely, 2^1313474500 is an apocalyptic number.

1313474500 is a gapful number since it is divisible by the number (10) 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 1313474500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1551579120).

1313474500 is an abundant number, since it is smaller than the sum of its proper divisors (1789683740).

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

1313474500 is a wasteful number, since it uses less digits than its factorization.

1313474500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 938 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 28.

The square root of 1313474500 is about 36241.8887476908. Note that the first 3 decimals coincide. The cubic root of 1313474500 is about 1095.1506919930.

The spelling of 1313474500 in words is "one billion, three hundred thirteen million, four hundred seventy-four thousand, five hundred".