315514432255441 has 2 divisors, whose sum is σ = 315514432255442. Its totient is φ = 315514432255440.

The previous prime is 315514432255433. The next prime is 315514432255469. The reversal of 315514432255441 is 144552234415513.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 211437627401025 + 104076804854416 = 14540895^2 + 10201804^2 .

It is a cyclic number.

It is not a de Polignac number, because 315514432255441 - 2³ = 315514432255433 is a prime.

It is a super-2 number, since 2×315514432255441² (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (315514432255481) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157757216127720 + 157757216127721.

It is an arithmetic number, because the mean of its divisors is an integer number (157757216127721).

Almost surely, 2^{315514432255441} is an apocalyptic number.

It is an amenable number.

315514432255441 is a deficient number, since it is larger than the sum of its proper divisors (1).

315514432255441 is an equidigital number, since it uses as much as digits as its factorization.

315514432255441 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 5760000, while the sum is 49.

The spelling of 315514432255441 in words is "three hundred fifteen trillion, five hundred fourteen billion, four hundred thirty-two million, two hundred fifty-five thousand, four hundred forty-one".