10265760289 has 2 divisors, whose sum is σ = 10265760290. Its totient is φ = 10265760288.

The previous prime is 10265760259. The next prime is 10265760319. The reversal of 10265760289 is 98206756201.

It is a balanced prime because it is at equal distance from previous prime (10265760259) and next prime (10265760319).

It can be written as a sum of positive squares in only one way, i.e., 10248120289 + 17640000 = 101233^2 + 4200^2 .

It is a cyclic number.

It is not a de Polignac number, because 10265760289 - 2⁷ = 10265760161 is a prime.

It is a super-2 number, since 2×10265760289² (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10265760259) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5132880144 + 5132880145.

It is an arithmetic number, because the mean of its divisors is an integer number (5132880145).

Almost surely, 2^10265760289 is an apocalyptic number.

It is an amenable number.

10265760289 is a deficient number, since it is larger than the sum of its proper divisors (1).

10265760289 is an equidigital number, since it uses as much as digits as its factorization.

10265760289 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 362880, while the sum is 46.

It can be divided in two parts, 1026 and 5760289, that added together give a triangular number (5761315 = T₃₃₉₄).

The spelling of 10265760289 in words is "ten billion, two hundred sixty-five million, seven hundred sixty thousand, two hundred eighty-nine".