657262054089 has 9 divisors (see below), whose sum is σ = 949382035693. Its totient is φ = 438173081292.

The previous prime is 657262054061. The next prime is 657262054093. The reversal of 657262054089 is 980450262756.

The square root of 657262054089 is 810717.

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

657262054089 is a `hidden beast` number, since 6 + 5 + 7 + 2 + 620 + 5 + 4 + 0 + 8 + 9 = 666.

657262054089 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 657262054089 - 2⁷ = 657262053961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (657262054049) 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, 2297032 + ... + 2567270.

Almost surely, 2^657262054089 is an apocalyptic number.

657262054089 is the 810717-th square number.

657262054089 is the 405359-th centered octagonal number.

It is an amenable number.

657262054089 is a deficient number, since it is larger than the sum of its proper divisors (292119981604).

657262054089 is an frugal number, since it uses more digits than its factorization.

657262054089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540484 (or 270242 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 657262054089 in words is "six hundred fifty-seven billion, two hundred sixty-two million, fifty-four thousand, eighty-nine".