411125076345749 has 2 divisors, whose sum is σ = 411125076345750. Its totient is φ = 411125076345748.

The previous prime is 411125076345733. The next prime is 411125076345751. The reversal of 411125076345749 is 947543670521114.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 269744819688100 + 141380256657649 = 16423910^2 + 11890343^2 .

It is a cyclic number.

It is not a de Polignac number, because 411125076345749 - 2⁴ = 411125076345733 is a prime.

Together with 411125076345751, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (411125076345779) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 205562538172874 + 205562538172875.

It is an arithmetic number, because the mean of its divisors is an integer number (205562538172875).

Almost surely, 2^{411125076345749} is an apocalyptic number.

It is an amenable number.

411125076345749 is a deficient number, since it is larger than the sum of its proper divisors (1).

411125076345749 is an equidigital number, since it uses as much as digits as its factorization.

411125076345749 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25401600, while the sum is 59.

The spelling of 411125076345749 in words is "four hundred eleven trillion, one hundred twenty-five billion, seventy-six million, three hundred forty-five thousand, seven hundred forty-nine".