25765386257 has 16 divisors (see below), whose sum is σ = 27897816912. Its totient is φ = 23654799360.

The previous prime is 25765386253. The next prime is 25765386263. The reversal of 25765386257 is 75268356752.

It is a happy number.

It is a Cunningham number, because it is equal to 160516²+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1 + 25765386256 = 1^2 + 160516^2 .

It is a cyclic number.

It is not a de Polignac number, because 25765386257 - 2² = 25765386253 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (25765386253) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1876457 + ... + 1890137.

It is an arithmetic number, because the mean of its divisors is an integer number (1743613557).

Almost surely, 2^25765386257 is an apocalyptic number.

It is an amenable number.

25765386257 is a deficient number, since it is larger than the sum of its proper divisors (2132430655).

25765386257 is a wasteful number, since it uses less digits than its factorization.

25765386257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14468.

The product of its digits is 21168000, while the sum is 56.

The spelling of 25765386257 in words is "twenty-five billion, seven hundred sixty-five million, three hundred eighty-six thousand, two hundred fifty-seven".