2625252500257 has 2 divisors, whose sum is σ = 2625252500258. Its totient is φ = 2625252500256.

The previous prime is 2625252500231. The next prime is 2625252500287. The reversal of 2625252500257 is 7520052525262.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1682496946321 + 942755553936 = 1297111^2 + 970956^2 .

It is a cyclic number.

It is not a de Polignac number, because 2625252500257 - 2¹⁵ = 2625252467489 is a prime.

It is not a weakly prime, because it can be changed into another prime (2625252500287) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1312626250128 + 1312626250129.

It is an arithmetic number, because the mean of its divisors is an integer number (1312626250129).

Almost surely, 2^{2625252500257} is an apocalyptic number.

It is an amenable number.

2625252500257 is a deficient number, since it is larger than the sum of its proper divisors (1).

2625252500257 is an equidigital number, since it uses as much as digits as its factorization.

2625252500257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 840000, while the sum is 43.

The spelling of 2625252500257 in words is "two trillion, six hundred twenty-five billion, two hundred fifty-two million, five hundred thousand, two hundred fifty-seven".