25506126757 has 2 divisors, whose sum is σ = 25506126758. Its totient is φ = 25506126756.

The previous prime is 25506126739. The next prime is 25506126769. The reversal of 25506126757 is 75762160552.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 23191939521 + 2314187236 = 152289^2 + 48106^2 .

It is a cyclic number.

It is not a de Polignac number, because 25506126757 - 2¹⁵ = 25506093989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (25506126707) 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, 12753063378 + 12753063379.

It is an arithmetic number, because the mean of its divisors is an integer number (12753063379).

Almost surely, 2^25506126757 is an apocalyptic number.

It is an amenable number.

25506126757 is a deficient number, since it is larger than the sum of its proper divisors (1).

25506126757 is an equidigital number, since it uses as much as digits as its factorization.

25506126757 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 882000, while the sum is 46.

The spelling of 25506126757 in words is "twenty-five billion, five hundred six million, one hundred twenty-six thousand, seven hundred fifty-seven".