829033121251 has 2 divisors, whose sum is σ = 829033121252. Its totient is φ = 829033121250.

The previous prime is 829033121243. The next prime is 829033121269. The reversal of 829033121251 is 152121330928.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 829033121251 - 2³ = 829033121243 is a prime.

It is a super-2 number, since 2×829033121251² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 829033121251.

It is not a weakly prime, because it can be changed into another prime (829033121351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 414516560625 + 414516560626.

It is an arithmetic number, because the mean of its divisors is an integer number (414516560626).

Almost surely, 2^829033121251 is an apocalyptic number.

829033121251 is a deficient number, since it is larger than the sum of its proper divisors (1).

829033121251 is an equidigital number, since it uses as much as digits as its factorization.

829033121251 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 25920, while the sum is 37.

The spelling of 829033121251 in words is "eight hundred twenty-nine billion, thirty-three million, one hundred twenty-one thousand, two hundred fifty-one".