1513334016 has 324 divisors, whose sum is σ = 4887945972. Its totient is φ = 465813504.

The previous prime is 1513333993. The next prime is 1513334023. The reversal of 1513334016 is 6104333151.

It can be written as a sum of positive squares in 2 ways, for example, as 1135420416 + 377913600 = 33696^2 + 19440^2 .

It is a tau number, because it is divible by the number of its divisors (324).

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 polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28553446 + ... + 28553498.

It is an arithmetic number, because the mean of its divisors is an integer number (15086253).

Almost surely, 2^1513334016 is an apocalyptic number.

1513334016 is a gapful number since it is divisible by the number (16) 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 1513334016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2443972986).

1513334016 is an abundant number, since it is smaller than the sum of its proper divisors (3374611956).

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

1513334016 is an frugal number, since it uses more digits than its factorization.

1513334016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 1513334016 is about 38901.5940033310. The cubic root of 1513334016 is about 1148.0961608111.

Adding to 1513334016 its reverse (6104333151), we get a palindrome (7617667167).

The spelling of 1513334016 in words is "one billion, five hundred thirteen million, three hundred thirty-four thousand, sixteen".