65801257 has 2 divisors, whose sum is σ = 65801258. Its totient is φ = 65801256.

The previous prime is 65801243. The next prime is 65801291. The reversal of 65801257 is 75210856.

It is an a-pointer prime, because the next prime (65801291) can be obtained adding 65801257 to its sum of digits (34).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 64947481 + 853776 = 8059^2 + 924^2 .

It is a cyclic number.

It is not a de Polignac number, because 65801257 - 2⁷ = 65801129 is a prime.

It is not a weakly prime, because it can be changed into another prime (65801357) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 32900628 + 32900629.

It is an arithmetic number, because the mean of its divisors is an integer number (32900629).

Almost surely, 2^65801257 is an apocalyptic number.

It is an amenable number.

65801257 is a deficient number, since it is larger than the sum of its proper divisors (1).

65801257 is an equidigital number, since it uses as much as digits as its factorization.

65801257 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 65801257 is about 8111.7973963851. The cubic root of 65801257 is about 403.7179537294.

The spelling of 65801257 in words is "sixty-five million, eight hundred one thousand, two hundred fifty-seven".