312541601 has 2 divisors, whose sum is σ = 312541602. Its totient is φ = 312541600.

The previous prime is 312541591. The next prime is 312541609. The reversal of 312541601 is 106145213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 278890000 + 33651601 = 16700^2 + 5801^2 .

It is a cyclic number.

It is not a de Polignac number, because 312541601 - 2¹⁰ = 312540577 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (312541609) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156270800 + 156270801.

It is an arithmetic number, because the mean of its divisors is an integer number (156270801).

Almost surely, 2^312541601 is an apocalyptic number.

It is an amenable number.

312541601 is a deficient number, since it is larger than the sum of its proper divisors (1).

312541601 is an equidigital number, since it uses as much as digits as its factorization.

312541601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 312541601 is about 17678.8461444745. The cubic root of 312541601 is about 678.6345154759.

Adding to 312541601 its reverse (106145213), we get a palindrome (418686814).

The spelling of 312541601 in words is "three hundred twelve million, five hundred forty-one thousand, six hundred one".