829416101681 has 2 divisors, whose sum is σ = 829416101682. Its totient is φ = 829416101680.

The previous prime is 829416101639. The next prime is 829416101729. The reversal of 829416101681 is 186101614928.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 571900450081 + 257515651600 = 756241^2 + 507460^2 .

It is a cyclic number.

It is not a de Polignac number, because 829416101681 - 2⁶ = 829416101617 is a prime.

It is a super-2 number, since 2×829416101681² (a number of 25 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (829416101621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414708050840 + 414708050841.

It is an arithmetic number, because the mean of its divisors is an integer number (414708050841).

Almost surely, 2^829416101681 is an apocalyptic number.

It is an amenable number.

829416101681 is a deficient number, since it is larger than the sum of its proper divisors (1).

829416101681 is an equidigital number, since it uses as much as digits as its factorization.

829416101681 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 165888, while the sum is 47.

The spelling of 829416101681 in words is "eight hundred twenty-nine billion, four hundred sixteen million, one hundred one thousand, six hundred eighty-one".