1982148313 has 2 divisors, whose sum is σ = 1982148314. Its totient is φ = 1982148312.

The previous prime is 1982148307. The next prime is 1982148353. The reversal of 1982148313 is 3138412891.

It is an a-pointer prime, because the next prime (1982148353) can be obtained adding 1982148313 to its sum of digits (40).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1602561024 + 379587289 = 40032^2 + 19483^2 .

It is a cyclic number.

It is not a de Polignac number, because 1982148313 - 2¹⁷ = 1982017241 is a prime.

It is a super-5 number, since 5×1982148313⁵ (a number of 48 digits) contains 55555 as substring.

It is not a weakly prime, because it can be changed into another prime (1982148353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 991074156 + 991074157.

It is an arithmetic number, because the mean of its divisors is an integer number (991074157).

Almost surely, 2^1982148313 is an apocalyptic number.

It is an amenable number.

1982148313 is a deficient number, since it is larger than the sum of its proper divisors (1).

1982148313 is an equidigital number, since it uses as much as digits as its factorization.

1982148313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 41472, while the sum is 40.

The square root of 1982148313 is about 44521.3242502961. The cubic root of 1982148313 is about 1256.1612216893.

The spelling of 1982148313 in words is "one billion, nine hundred eighty-two million, one hundred forty-eight thousand, three hundred thirteen".