1513027768 has 128 divisors (see below), whose sum is σ = 3489868800. Its totient is φ = 601058304.

The previous prime is 1513027753. The next prime is 1513027771. The reversal of 1513027768 is 8677203151.

It is a self number, because there is not a number n which added to its sum of digits gives 1513027768.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7680246 + ... + 7680442.

It is an arithmetic number, because the mean of its divisors is an integer number (27264600).

Almost surely, 2^1513027768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1513027768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1744934400).

1513027768 is an abundant number, since it is smaller than the sum of its proper divisors (1976841032).

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

1513027768 is a wasteful number, since it uses less digits than its factorization.

1513027768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 40.

The square root of 1513027768 is about 38897.6576158514. The cubic root of 1513027768 is about 1148.0187102132.

The spelling of 1513027768 in words is "one billion, five hundred thirteen million, twenty-seven thousand, seven hundred sixty-eight".