25252525252561 has 2 divisors, whose sum is σ = 25252525252562. Its totient is φ = 25252525252560.

The previous prime is 25252525252499. The next prime is 25252525252567. The reversal of 25252525252561 is 16525252525252.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 14562764222161 + 10689761030400 = 3816119^2 + 3269520^2 .

It is a cyclic number.

It is not a de Polignac number, because 25252525252561 - 2³⁹ = 24702769438673 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is not a weakly prime, because it can be changed into another prime (25252525252567) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12626262626280 + 12626262626281.

It is an arithmetic number, because the mean of its divisors is an integer number (12626262626281).

Almost surely, 2^{25252525252561} is an apocalyptic number.

It is an amenable number.

25252525252561 is a deficient number, since it is larger than the sum of its proper divisors (1).

25252525252561 is an equidigital number, since it uses as much as digits as its factorization.

25252525252561 is an evil number, because the sum of its binary digits is even.

The product of its digits is 6000000, while the sum is 49.

The spelling of 25252525252561 in words is "twenty-five trillion, two hundred fifty-two billion, five hundred twenty-five million, two hundred fifty-two thousand, five hundred sixty-one".