2452753780129 has 9 divisors (see below), whose sum is σ = 2482792650163. Its totient is φ = 2423074107352.

The previous prime is 2452753780121. The next prime is 2452753780133. The reversal of 2452753780129 is 9210873572542.

It is a happy number.

The square root of 2452753780129 is 1566127.

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., 2401033923729 + 51719856400 = 1549527^2 + 227420^2 .

It is not a de Polignac number, because 2452753780129 - 2³ = 2452753780121 is a prime.

It is a super-2 number, since 2×2452753780129² (a number of 26 digits) contains 22 as substring.

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 2452753780129.

It is not an unprimeable number, because it can be changed into a prime (2452753780121) 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, 129979107 + ... + 129997975.

Almost surely, 2^{2452753780129} is an apocalyptic number.

2452753780129 is the 1566127-th square number.

2452753780129 is the 783064-th centered octagonal number.

It is an amenable number.

2452753780129 is a deficient number, since it is larger than the sum of its proper divisors (30038870034).

2452753780129 is an frugal number, since it uses more digits than its factorization.

2452753780129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37904 (or 18952 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 55.

The spelling of 2452753780129 in words is "two trillion, four hundred fifty-two billion, seven hundred fifty-three million, seven hundred eighty thousand, one hundred twenty-nine".