1513768680 has 192 divisors, whose sum is σ = 5175003600. Its totient is φ = 383201280.

The previous prime is 1513768639. The next prime is 1513768681. The reversal of 1513768680 is 868673151.

1513768680 is a `hidden beast` number, since 1 + 513 + 76 + 8 + 68 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 199996164 + 1313772516 = 14142^2 + 36246^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1513768681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 635652 + ... + 638028.

Almost surely, 2^1513768680 is an apocalyptic number.

1513768680 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 1513768680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2587501800).

1513768680 is an abundant number, since it is smaller than the sum of its proper divisors (3661234920).

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

1513768680 is a wasteful number, since it uses less digits than its factorization.

1513768680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2484 (or 2477 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The square root of 1513768680 is about 38907.1803141785. The cubic root of 1513768680 is about 1148.2060700785.

The spelling of 1513768680 in words is "one billion, five hundred thirteen million, seven hundred sixty-eight thousand, six hundred eighty".