312541415201 has 2 divisors, whose sum is σ = 312541415202. Its totient is φ = 312541415200.

The previous prime is 312541415167. The next prime is 312541415213. The reversal of 312541415201 is 102514145213.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 271283680801 + 41257734400 = 520849^2 + 203120^2 .

It is a cyclic number.

It is not a de Polignac number, because 312541415201 - 2¹⁰ = 312541414177 is a prime.

It is not a weakly prime, because it can be changed into another prime (312541615201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156270707600 + 156270707601.

It is an arithmetic number, because the mean of its divisors is an integer number (156270707601).

Almost surely, 2^312541415201 is an apocalyptic number.

It is an amenable number.

312541415201 is a deficient number, since it is larger than the sum of its proper divisors (1).

312541415201 is an equidigital number, since it uses as much as digits as its factorization.

312541415201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4800, while the sum is 29.

The spelling of 312541415201 in words is "three hundred twelve billion, five hundred forty-one million, four hundred fifteen thousand, two hundred one".