4829505677 has 2 divisors, whose sum is σ = 4829505678. Its totient is φ = 4829505676.

The previous prime is 4829505617. The next prime is 4829505679. The reversal of 4829505677 is 7765059284.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 4297326916 + 532178761 = 65554^2 + 23069^2 .

It is a cyclic number.

It is not a de Polignac number, because 4829505677 - 2⁶ = 4829505613 is a prime.

Together with 4829505679, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4829505679) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2414752838 + 2414752839.

It is an arithmetic number, because the mean of its divisors is an integer number (2414752839).

Almost surely, 2^4829505677 is an apocalyptic number.

It is an amenable number.

4829505677 is a deficient number, since it is larger than the sum of its proper divisors (1).

4829505677 is an equidigital number, since it uses as much as digits as its factorization.

4829505677 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4233600, while the sum is 53.

The square root of 4829505677 is about 69494.6449519673. The cubic root of 4829505677 is about 1690.3146685989.

The spelling of 4829505677 in words is "four billion, eight hundred twenty-nine million, five hundred five thousand, six hundred seventy-seven".