1680513500 has 48 divisors (see below), whose sum is σ = 3689667072. Its totient is φ = 668648000.

The previous prime is 1680513493. The next prime is 1680513551. The reversal of 1680513500 is 53150861.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86702 + ... + 104298.

It is an arithmetic number, because the mean of its divisors is an integer number (76868064).

Almost surely, 2^1680513500 is an apocalyptic number.

1680513500 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 1680513500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1844833536).

1680513500 is an abundant number, since it is smaller than the sum of its proper divisors (2009153572).

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

1680513500 is a wasteful number, since it uses less digits than its factorization.

1680513500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17807 (or 17795 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The square root of 1680513500 is about 40994.0666438449. The cubic root of 1680513500 is about 1188.9054974178.

The spelling of 1680513500 in words is "one billion, six hundred eighty million, five hundred thirteen thousand, five hundred".