53138087289 has 45 divisors (see below), whose sum is σ = 92364217077. Its totient is φ = 30356322696.

The previous prime is 53138087267. The next prime is 53138087291. The reversal of 53138087289 is 98278083135.

The square root of 53138087289 is 230517.

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

53138087289 is a `hidden beast` number, since 531 + 3 + 8 + 0 + 87 + 28 + 9 = 666.

It is not a de Polignac number, because 53138087289 - 2¹⁷ = 53137956217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53138087209) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14520742 + ... + 14524400.

Almost surely, 2^53138087289 is an apocalyptic number.

53138087289 is the 230517-th square number.

53138087289 is the 115259-th centered octagonal number.

It is an amenable number.

53138087289 is a deficient number, since it is larger than the sum of its proper divisors (39226129788).

53138087289 is an frugal number, since it uses more digits than its factorization.

53138087289 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7344 (or 3669 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 53138087289 in words is "fifty-three billion, one hundred thirty-eight million, eighty-seven thousand, two hundred eighty-nine".