1982253273 has 64 divisors (see below), whose sum is σ = 3562954752. Its totient is φ = 946702080.

The previous prime is 1982253263. The next prime is 1982253277. The reversal of 1982253273 is 3723522891.

It is not a de Polignac number, because 1982253273 - 2⁸ = 1982253017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1982253277) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 830640 + ... + 833022.

It is an arithmetic number, because the mean of its divisors is an integer number (55671168).

Almost surely, 2^1982253273 is an apocalyptic number.

1982253273 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1982253273 is a deficient number, since it is larger than the sum of its proper divisors (1580701479).

1982253273 is a wasteful number, since it uses less digits than its factorization.

1982253273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2694.

The product of its digits is 181440, while the sum is 42.

The square root of 1982253273 is about 44522.5029956762. The cubic root of 1982253273 is about 1256.1833936518.

It can be divided in two parts, 1982 and 253273, that added together give a triangular number (255255 = T₇₁₄).

The spelling of 1982253273 in words is "one billion, nine hundred eighty-two million, two hundred fifty-three thousand, two hundred seventy-three".