782121402024041 has 2 divisors, whose sum is σ = 782121402024042. Its totient is φ = 782121402024040.

The previous prime is 782121402024037. The next prime is 782121402024103. The reversal of 782121402024041 is 140420204121287.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 565582525156441 + 216538876867600 = 23781979^2 + 14715260^2 .

It is an emirp because it is prime and its reverse (140420204121287) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 782121402024041 - 2² = 782121402024037 is a prime.

It is a super-2 number, since 2×782121402024041² (a number of 31 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 782121402023986 and 782121402024004.

It is not a weakly prime, because it can be changed into another prime (782121402024841) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 391060701012020 + 391060701012021.

It is an arithmetic number, because the mean of its divisors is an integer number (391060701012021).

Almost surely, 2^{782121402024041} is an apocalyptic number.

It is an amenable number.

782121402024041 is a deficient number, since it is larger than the sum of its proper divisors (1).

782121402024041 is an equidigital number, since it uses as much as digits as its factorization.

782121402024041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 57344, while the sum is 38.

The spelling of 782121402024041 in words is "seven hundred eighty-two trillion, one hundred twenty-one billion, four hundred two million, twenty-four thousand, forty-one".