2538053638129 has 9 divisors (see below), whose sum is σ = 2586931047883. Its totient is φ = 2490082991032.

The previous prime is 2538053638123. The next prime is 2538053638157. The reversal of 2538053638129 is 9218363508352.

It is a happy number.

The square root of 2538053638129 is 1593127.

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., 1829675549025 + 708378089104 = 1352655^2 + 841652^2 .

It is not a de Polignac number, because 2538053638129 - 2²³ = 2538045249521 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2538053638129.

It is not an unprimeable number, because it can be changed into a prime (2538053638123) 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, 84420702 + ... + 84450760.

Almost surely, 2^{2538053638129} is an apocalyptic number.

2538053638129 is the 1593127-th square number.

2538053638129 is the 796564-th centered octagonal number.

It is an amenable number.

2538053638129 is a deficient number, since it is larger than the sum of its proper divisors (48877409754).

2538053638129 is an frugal number, since it uses more digits than its factorization.

2538053638129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60224 (or 30112 counting only the distinct ones).

The product of its (nonzero) digits is 9331200, while the sum is 55.

The spelling of 2538053638129 in words is "two trillion, five hundred thirty-eight billion, fifty-three million, six hundred thirty-eight thousand, one hundred twenty-nine".