58505981 has 2 divisors, whose sum is σ = 58505982. Its totient is φ = 58505980.

The previous prime is 58505939. The next prime is 58505983. The reversal of 58505981 is 18950585.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 52330756 + 6175225 = 7234^2 + 2485^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-58505981 is a prime.

It is a super-2 number, since 2×58505981² = 6845899625544722, which contains 22 as substring.

Together with 58505983, it forms a pair of twin primes.

It is a Chen prime.

It is equal to p_3478649 and since 58505981 and 3478649 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (58505983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29252990 + 29252991.

It is an arithmetic number, because the mean of its divisors is an integer number (29252991).

Almost surely, 2^58505981 is an apocalyptic number.

It is an amenable number.

58505981 is a deficient number, since it is larger than the sum of its proper divisors (1).

58505981 is an equidigital number, since it uses as much as digits as its factorization.

58505981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72000, while the sum is 41.

The square root of 58505981 is about 7648.9202505975. The cubic root of 58505981 is about 388.2100330406.

The spelling of 58505981 in words is "fifty-eight million, five hundred five thousand, nine hundred eighty-one".