2725070511257 has 2 divisors, whose sum is σ = 2725070511258. Its totient is φ = 2725070511256.

The previous prime is 2725070511203. The next prime is 2725070511277. The reversal of 2725070511257 is 7521150705272.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2326771941376 + 398298569881 = 1525376^2 + 631109^2 .

It is a cyclic number.

It is not a de Polignac number, because 2725070511257 - 2¹⁸ = 2725070249113 is a prime.

It is not a weakly prime, because it can be changed into another prime (2725070511277) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1362535255628 + 1362535255629.

It is an arithmetic number, because the mean of its divisors is an integer number (1362535255629).

Almost surely, 2^{2725070511257} is an apocalyptic number.

It is an amenable number.

2725070511257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2725070511257 is an equidigital number, since it uses as much as digits as its factorization.

2725070511257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 343000, while the sum is 44.

The spelling of 2725070511257 in words is "two trillion, seven hundred twenty-five billion, seventy million, five hundred eleven thousand, two hundred fifty-seven".