4959006961829 has 2 divisors, whose sum is σ = 4959006961830. Its totient is φ = 4959006961828.

The previous prime is 4959006961801. The next prime is 4959006961859. The reversal of 4959006961829 is 9281696009594.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 4922638564804 + 36368397025 = 2218702^2 + 190705^2 .

It is a cyclic number.

It is not a de Polignac number, because 4959006961829 - 2⁴⁰ = 3859495334053 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4959006961859) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2479503480914 + 2479503480915.

It is an arithmetic number, because the mean of its divisors is an integer number (2479503480915).

Almost surely, 2^{4959006961829} is an apocalyptic number.

It is an amenable number.

4959006961829 is a deficient number, since it is larger than the sum of its proper divisors (1).

4959006961829 is an equidigital number, since it uses as much as digits as its factorization.

4959006961829 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75582720, while the sum is 68.

The spelling of 4959006961829 in words is "four trillion, nine hundred fifty-nine billion, six million, nine hundred sixty-one thousand, eight hundred twenty-nine".