657716134009 has 9 divisors (see below), whose sum is σ = 722953986181. Its totient is φ = 597915648220.

The previous prime is 657716133953. The next prime is 657716134043. The reversal of 657716134009 is 900431617756.

The square root of 657716134009 is 810997.

It is a perfect power (a square), and thus also a powerful number.

657716134009 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 657716134009 - 2⁹ = 657716133497 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (657716134099) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 8884104 + ... + 8957830.

Almost surely, 2^657716134009 is an apocalyptic number.

657716134009 is the 810997-th square number.

657716134009 is the 405499-th centered octagonal number.

It is an amenable number.

657716134009 is a deficient number, since it is larger than the sum of its proper divisors (65237852172).

657716134009 is an frugal number, since it uses more digits than its factorization.

657716134009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147476 (or 73738 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 49.

Multiplying 657716134009 by its sum of digits (49), we get a square (32228090566441 = 5676979²).

The spelling of 657716134009 in words is "six hundred fifty-seven billion, seven hundred sixteen million, one hundred thirty-four thousand, nine".