53124608327569 has 9 divisors (see below), whose sum is σ = 53434730309179. Its totient is φ = 52816276016680.

The previous prime is 53124608327561. The next prime is 53124608327573. The reversal of 53124608327569 is 96572380642135.

The square root of 53124608327569 is 7288663.

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

It can be written as a sum of positive squares in only one way, i.e., 48324951108225 + 4799657219344 = 6951615^2 + 2190812^2 .

It is not a de Polignac number, because 53124608327569 - 2³ = 53124608327561 is a prime.

It is a super-2 number, since 2×53124608327569² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53124608327561) 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, 1260917634 + ... + 1260959764.

It is a 1-persistent number, because it is pandigital, but 2⋅53124608327569 = 106249216655138 is not.

Almost surely, 2^{53124608327569} is an apocalyptic number.

53124608327569 is the 7288663-rd square number.

53124608327569 is the 3644332-nd centered octagonal number.

It is an amenable number.

53124608327569 is a deficient number, since it is larger than the sum of its proper divisors (310121981610).

53124608327569 is an frugal number, since it uses more digits than its factorization.

53124608327569 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84608 (or 42304 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 61.

The spelling of 53124608327569 in words is "fifty-three trillion, one hundred twenty-four billion, six hundred eight million, three hundred twenty-seven thousand, five hundred sixty-nine".