2502527528009 has 2 divisors, whose sum is σ = 2502527528010. Its totient is φ = 2502527528008.

The previous prime is 2502527527909. The next prime is 2502527528029. The reversal of 2502527528009 is 9008257252052.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2013887383225 + 488640144784 = 1419115^2 + 699028^2 .

It is a cyclic number.

It is not a de Polignac number, because 2502527528009 - 2³⁶ = 2433808051273 is a prime.

It is not a weakly prime, because it can be changed into another prime (2502527528029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1251263764004 + 1251263764005.

It is an arithmetic number, because the mean of its divisors is an integer number (1251263764005).

Almost surely, 2^{2502527528009} is an apocalyptic number.

It is an amenable number.

2502527528009 is a deficient number, since it is larger than the sum of its proper divisors (1).

2502527528009 is an equidigital number, since it uses as much as digits as its factorization.

2502527528009 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1008000, while the sum is 47.

The spelling of 2502527528009 in words is "two trillion, five hundred two billion, five hundred twenty-seven million, five hundred twenty-eight thousand, nine".