1983255374961 has 27 divisors (see below), whose sum is σ = 3332458384203. Its totient is φ = 1133271886320.

The previous prime is 1983255374951. The next prime is 1983255374987. The reversal of 1983255374961 is 1694735523891.

The square root of 1983255374961 is 1408281.

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

1983255374961 is a `hidden beast` number, since 1 + 9 + 8 + 3 + 2 + 5 + 537 + 4 + 96 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 661813163361 + 1321442211600 = 813519^2 + 1149540^2 .

It is not a de Polignac number, because 1983255374961 - 2¹¹ = 1983255372913 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1983255374921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29540371 + ... + 29607431.

Almost surely, 2^{1983255374961} is an apocalyptic number.

1983255374961 is the 1408281-st square number.

1983255374961 is the 704141-st centered octagonal number.

It is an amenable number.

1983255374961 is a deficient number, since it is larger than the sum of its proper divisors (1349203009242).

1983255374961 is an frugal number, since it uses more digits than its factorization.

1983255374961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134142 (or 67071 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 63.

The spelling of 1983255374961 in words is "one trillion, nine hundred eighty-three billion, two hundred fifty-five million, three hundred seventy-four thousand, nine hundred sixty-one".