2544752129 has 2 divisors, whose sum is σ = 2544752130. Its totient is φ = 2544752128.

The previous prime is 2544752107. The next prime is 2544752141. The reversal of 2544752129 is 9212574452.

2544752129 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1922997904 + 621754225 = 43852^2 + 24935^2 .

It is a cyclic number.

It is not a de Polignac number, because 2544752129 - 2¹⁶ = 2544686593 is a prime.

It is not a weakly prime, because it can be changed into another prime (2544754129) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1272376064 + 1272376065.

It is an arithmetic number, because the mean of its divisors is an integer number (1272376065).

Almost surely, 2^2544752129 is an apocalyptic number.

It is an amenable number.

2544752129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2544752129 is an equidigital number, since it uses as much as digits as its factorization.

2544752129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 201600, while the sum is 41.

The square root of 2544752129 is about 50445.5362643713. The cubic root of 2544752129 is about 1365.2593582856.

The spelling of 2544752129 in words is "two billion, five hundred forty-four million, seven hundred fifty-two thousand, one hundred twenty-nine".