1513990368 has 288 divisors, whose sum is σ = 4891041792. Its totient is φ = 440294400.

The previous prime is 1513990343. The next prime is 1513990409. The reversal of 1513990368 is 8630993151.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11921121 + ... + 11921247.

It is an arithmetic number, because the mean of its divisors is an integer number (16982784).

Almost surely, 2^1513990368 is an apocalyptic number.

1513990368 is a gapful number since it is divisible by the number (18) 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 1513990368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2445520896).

1513990368 is an abundant number, since it is smaller than the sum of its proper divisors (3377051424).

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

1513990368 is a wasteful number, since it uses less digits than its factorization.

1513990368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The square root of 1513990368 is about 38910.0291441680. The cubic root of 1513990368 is about 1148.2621180700.

The spelling of 1513990368 in words is "one billion, five hundred thirteen million, nine hundred ninety thousand, three hundred sixty-eight".