2529084097 has 2 divisors, whose sum is σ = 2529084098. Its totient is φ = 2529084096.

The previous prime is 2529084073. The next prime is 2529084109. The reversal of 2529084097 is 7904809252.

2529084097 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., 1996213041 + 532871056 = 44679^2 + 23084^2 .

It is a cyclic number.

It is not a de Polignac number, because 2529084097 - 2³¹ = 381600449 is a prime.

It is not a weakly prime, because it can be changed into another prime (2529084037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1264542048 + 1264542049.

It is an arithmetic number, because the mean of its divisors is an integer number (1264542049).

Almost surely, 2^2529084097 is an apocalyptic number.

It is an amenable number.

2529084097 is a deficient number, since it is larger than the sum of its proper divisors (1).

2529084097 is an equidigital number, since it uses as much as digits as its factorization.

2529084097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 46.

The square root of 2529084097 is about 50289.9999701730. Note that the first 4 decimals coincide. The cubic root of 2529084097 is about 1362.4516219054.

The spelling of 2529084097 in words is "two billion, five hundred twenty-nine million, eighty-four thousand, ninety-seven".