653085941 has 2 divisors, whose sum is σ = 653085942. Its totient is φ = 653085940.

The previous prime is 653085913. The next prime is 653085967. The reversal of 653085941 is 149580356.

653085941 = 18070² + 18071².

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 326561041 + 326524900 = 18071^2 + 18070^2 .

It is a cyclic number.

It is not a de Polignac number, because 653085941 - 2⁶ = 653085877 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is equal to p_33945458 and since 653085941 and 33945458 have the same sum of digits, it is a Honaker prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (653085971) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 326542970 + 326542971.

It is an arithmetic number, because the mean of its divisors is an integer number (326542971).

Almost surely, 2^653085941 is an apocalyptic number.

653085941 is the 18071-st centered square number.

It is an amenable number.

653085941 is a deficient number, since it is larger than the sum of its proper divisors (1).

653085941 is an equidigital number, since it uses as much as digits as its factorization.

653085941 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 129600, while the sum is 41.

The square root of 653085941 is about 25555.5461886456. The cubic root of 653085941 is about 867.6077943271.

The spelling of 653085941 in words is "six hundred fifty-three million, eighty-five thousand, nine hundred forty-one".