1683015830721 has 9 divisors (see below), whose sum is σ = 2431028488291. Its totient is φ = 1122007959192.

The previous prime is 1683015830711. The next prime is 1683015830729. The reversal of 1683015830721 is 1270385103861.

It is a happy number.

The square root of 1683015830721 is 1297311.

It is a perfect power (a square), and thus also a powerful number.

1683015830721 is a `hidden beast` number, since 1 + 68 + 3 + 0 + 1 + 583 + 0 + 7 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1512641711025 + 170374119696 = 1229895^2 + 412764^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 1683015830721 - 2²⁵ = 1682982276289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1683015830729) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3675715 + ... + 4108151.

Almost surely, 2^{1683015830721} is an apocalyptic number.

1683015830721 is the 1297311-st square number.

1683015830721 is the 648656-th centered octagonal number.

It is an amenable number.

1683015830721 is a deficient number, since it is larger than the sum of its proper divisors (748012657570).

1683015830721 is an frugal number, since it uses more digits than its factorization.

1683015830721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 864880 (or 432440 counting only the distinct ones).

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

The spelling of 1683015830721 in words is "one trillion, six hundred eighty-three billion, fifteen million, eight hundred thirty thousand, seven hundred twenty-one".