65257019 has 2 divisors, whose sum is σ = 65257020. Its totient is φ = 65257018.

The previous prime is 65257013. The next prime is 65257021. The reversal of 65257019 is 91075256.

65257019 is nontrivially palindromic in base 8.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 65257019 - 2²⁴ = 48479803 is a prime.

It is a super-2 number, since 2×65257019² = 8516957057532722, which contains 22 as substring.

Together with 65257021, it forms a pair of twin primes.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 65257019.

It is not a weakly prime, because it can be changed into another prime (65257013) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32628509 + 32628510.

It is an arithmetic number, because the mean of its divisors is an integer number (32628510).

Almost surely, 2^65257019 is an apocalyptic number.

65257019 is a deficient number, since it is larger than the sum of its proper divisors (1).

65257019 is an equidigital number, since it uses as much as digits as its factorization.

65257019 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18900, while the sum is 35.

The square root of 65257019 is about 8078.1816642113. The cubic root of 65257019 is about 402.6018291026.

The spelling of 65257019 in words is "sixty-five million, two hundred fifty-seven thousand, nineteen".