25977125761 has 2 divisors, whose sum is σ = 25977125762. Its totient is φ = 25977125760.

The previous prime is 25977125737. The next prime is 25977125813. The reversal of 25977125761 is 16752177952.

It is an a-pointer prime, because the next prime (25977125813) can be obtained adding 25977125761 to its sum of digits (52).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 15969124161 + 10008001600 = 126369^2 + 100040^2 .

It is a cyclic number.

It is not a de Polignac number, because 25977125761 - 2⁷ = 25977125633 is a prime.

It is a super-2 number, since 2×25977125761² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 25977125699 and 25977125708.

It is not a weakly prime, because it can be changed into another prime (25977122761) 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, 12988562880 + 12988562881.

It is an arithmetic number, because the mean of its divisors is an integer number (12988562881).

Almost surely, 2^25977125761 is an apocalyptic number.

It is an amenable number.

25977125761 is a deficient number, since it is larger than the sum of its proper divisors (1).

25977125761 is an equidigital number, since it uses as much as digits as its factorization.

25977125761 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1852200, while the sum is 52.

The spelling of 25977125761 in words is "twenty-five billion, nine hundred seventy-seven million, one hundred twenty-five thousand, seven hundred sixty-one".