1513313280 has 440 divisors, whose sum is σ = 5617541160. Its totient is φ = 389283840.

The previous prime is 1513313279. The next prime is 1513313297. The reversal of 1513313280 is 823133151.

1513313280 is a `hidden beast` number, since 1 + 5 + 1 + 331 + 328 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 23970816 + 1489342464 = 4896^2 + 38592^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 17003476 + ... + 17003564.

It is an arithmetic number, because the mean of its divisors is an integer number (12767139).

Almost surely, 2^1513313280 is an apocalyptic number.

1513313280 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 1513313280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2808770580).

1513313280 is an abundant number, since it is smaller than the sum of its proper divisors (4104227880).

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

1513313280 is an equidigital number, since it uses as much as digits as its factorization.

1513313280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 1513313280 is about 38901.3274837762. The cubic root of 1513313280 is about 1148.0909169741.

The spelling of 1513313280 in words is "one billion, five hundred thirteen million, three hundred thirteen thousand, two hundred eighty".