2527505002753 has 2 divisors, whose sum is σ = 2527505002754. Its totient is φ = 2527505002752.

The previous prime is 2527505002751. The next prime is 2527505002783. The reversal of 2527505002753 is 3572005057252.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2043836218384 + 483668784369 = 1429628^2 + 695463^2 .

It is a cyclic number.

It is not a de Polignac number, because 2527505002753 - 2¹ = 2527505002751 is a prime.

Together with 2527505002751, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (2527505002751) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1263752501376 + 1263752501377.

It is an arithmetic number, because the mean of its divisors is an integer number (1263752501377).

Almost surely, 2^{2527505002753} is an apocalyptic number.

It is an amenable number.

2527505002753 is a deficient number, since it is larger than the sum of its proper divisors (1).

2527505002753 is an equidigital number, since it uses as much as digits as its factorization.

2527505002753 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 735000, while the sum is 43.

The spelling of 2527505002753 in words is "two trillion, five hundred twenty-seven billion, five hundred five million, two thousand, seven hundred fifty-three".