411201132012337 has 2 divisors, whose sum is σ = 411201132012338. Its totient is φ = 411201132012336.

The previous prime is 411201132012301. The next prime is 411201132012367. The reversal of 411201132012337 is 733210231102114.

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., 382941690658816 + 28259441353521 = 19568896^2 + 5315961^2 .

It is a cyclic number.

It is not a de Polignac number, because 411201132012337 - 2³⁵ = 411166772273969 is a prime.

It is a super-2 number, since 2×411201132012337² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 411201132012299 and 411201132012308.

It is not a weakly prime, because it can be changed into another prime (411201132012367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 205600566006168 + 205600566006169.

It is an arithmetic number, because the mean of its divisors is an integer number (205600566006169).

Almost surely, 2^{411201132012337} is an apocalyptic number.

It is an amenable number.

411201132012337 is a deficient number, since it is larger than the sum of its proper divisors (1).

411201132012337 is an equidigital number, since it uses as much as digits as its factorization.

411201132012337 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 6048, while the sum is 31.

The spelling of 411201132012337 in words is "four hundred eleven trillion, two hundred one billion, one hundred thirty-two million, twelve thousand, three hundred thirty-seven".