1513633680 has 480 divisors, whose sum is σ = 5849625600. Its totient is φ = 347922432.

The previous prime is 1513633661. The next prime is 1513633697. The reversal of 1513633680 is 863363151.

It is a happy number.

1513633680 is a `hidden beast` number, since 1 + 5 + 13 + 633 + 6 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17007076 + ... + 17007164.

It is an arithmetic number, because the mean of its divisors is an integer number (12186720).

Almost surely, 2^1513633680 is an apocalyptic number.

1513633680 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 1513633680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2924812800).

1513633680 is an abundant number, since it is smaller than the sum of its proper divisors (4335991920).

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

1513633680 is a wasteful number, since it uses less digits than its factorization.

1513633680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1513633680 is about 38905.4453772219. The cubic root of 1513633680 is about 1148.1719361914.

The spelling of 1513633680 in words is "one billion, five hundred thirteen million, six hundred thirty-three thousand, six hundred eighty".