4124066561 has 2 divisors, whose sum is σ = 4124066562. Its totient is φ = 4124066560.

The previous prime is 4124066537. The next prime is 4124066563. The reversal of 4124066561 is 1656604214.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2491906561 + 1632160000 = 49919^2 + 40400^2 .

It is a cyclic number.

It is not a de Polignac number, because 4124066561 - 2²² = 4119872257 is a prime.

Together with 4124066563, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (4124066563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2062033280 + 2062033281.

It is an arithmetic number, because the mean of its divisors is an integer number (2062033281).

Almost surely, 2^4124066561 is an apocalyptic number.

It is an amenable number.

4124066561 is a deficient number, since it is larger than the sum of its proper divisors (1).

4124066561 is an equidigital number, since it uses as much as digits as its factorization.

4124066561 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34560, while the sum is 35.

The square root of 4124066561 is about 64218.8956694212. The cubic root of 4124066561 is about 1603.6461846543.

The spelling of 4124066561 in words is "four billion, one hundred twenty-four million, sixty-six thousand, five hundred sixty-one".