1983642578125 has 34 divisors (see below), whose sum is σ = 2670288085934. Its totient is φ = 1464843750000.

The previous prime is 1983642578123. The next prime is 1983642578161. The reversal of 1983642578125 is 5218752463891.

It is a happy number.

It can be written as a sum of positive squares in 17 ways, for example, as 45705736521 + 1937936841604 = 213789^2 + 1392098^2 .

It is not a de Polignac number, because 1983642578125 - 2¹ = 1983642578123 is a prime.

It is a Duffinian number.

Its product of digits (29030400) is a multiple of the sum of its prime divisors (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1983642578123) by changing a digit.

It is a polite number, since it can be written in 33 ways as a sum of consecutive naturals, for example, 152587890619 + ... + 152587890631.

Almost surely, 2^{1983642578125} is an apocalyptic number.

It is an amenable number.

1983642578125 is a deficient number, since it is larger than the sum of its proper divisors (686645507809).

1983642578125 is an frugal number, since it uses more digits than its factorization.

1983642578125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 18 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 61.

The spelling of 1983642578125 in words is "one trillion, nine hundred eighty-three billion, six hundred forty-two million, five hundred seventy-eight thousand, one hundred twenty-five".