1682471004201 has 81 divisors (see below), whose sum is σ = 2671635610917. Its totient is φ = 1019832690240.

The previous prime is 1682471004089. The next prime is 1682471004233. The reversal of 1682471004201 is 1024001742861.

It is a happy number.

The square root of 1682471004201 is 1297101.

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

1682471004201 is a `hidden beast` number, since 16 + 82 + 47 + 100 + 420 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1345866813225 + 336604190976 = 1160115^2 + 580176^2 .

It is not a de Polignac number, because 1682471004201 - 2³¹ = 1680323520553 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1682471004281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3996367971 + ... + 3996368391.

Almost surely, 2^{1682471004201} is an apocalyptic number.

1682471004201 is the 1297101-st square number.

1682471004201 is the 648551-st centered octagonal number.

It is an amenable number.

1682471004201 is a deficient number, since it is larger than the sum of its proper divisors (989164606716).

1682471004201 is an frugal number, since it uses more digits than its factorization.

1682471004201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1032 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

Multiplying 1682471004201 by its sum of digits (36), we get a square (60568956151236 = 7782606²).

The spelling of 1682471004201 in words is "one trillion, six hundred eighty-two billion, four hundred seventy-one million, four thousand, two hundred one".