657629813 has 2 divisors, whose sum is σ = 657629814. Its totient is φ = 657629812.

The previous prime is 657629803. The next prime is 657629849. The reversal of 657629813 is 318926756.

657629813 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 657512164 + 117649 = 25642^2 + 343^2 .

It is a cyclic number.

It is not a de Polignac number, because 657629813 - 2¹⁰ = 657628789 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (657629803) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 328814906 + 328814907.

It is an arithmetic number, because the mean of its divisors is an integer number (328814907).

Almost surely, 2^657629813 is an apocalyptic number.

It is an amenable number.

657629813 is a deficient number, since it is larger than the sum of its proper divisors (1).

657629813 is an equidigital number, since it uses as much as digits as its factorization.

657629813 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 544320, while the sum is 47.

The square root of 657629813 is about 25644.2939657149. The cubic root of 657629813 is about 869.6152846089.

The spelling of 657629813 in words is "six hundred fifty-seven million, six hundred twenty-nine thousand, eight hundred thirteen".