413951981 has 2 divisors, whose sum is σ = 413951982. Its totient is φ = 413951980.

The previous prime is 413951947. The next prime is 413951987. The reversal of 413951981 is 189159314.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 308704900 + 105247081 = 17570^2 + 10259^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-413951981 is a prime.

It is a super-2 number, since 2×413951981² = 342712485147648722, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413951987) 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, 206975990 + 206975991.

It is an arithmetic number, because the mean of its divisors is an integer number (206975991).

Almost surely, 2^413951981 is an apocalyptic number.

It is an amenable number.

413951981 is a deficient number, since it is larger than the sum of its proper divisors (1).

413951981 is an equidigital number, since it uses as much as digits as its factorization.

413951981 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 38880, while the sum is 41.

The square root of 413951981 is about 20345.8099126085. The cubic root of 413951981 is about 745.2751748374.

The spelling of 413951981 in words is "four hundred thirteen million, nine hundred fifty-one thousand, nine hundred eighty-one".