314513220145513 has 8 divisors (see below), whose sum is σ = 315839315925000. Its totient is φ = 313188843222528.

The previous prime is 314513220145493. The next prime is 314513220145667. The reversal of 314513220145513 is 315541022315413.

It can be written as a sum of positive squares in 4 ways, for example, as 17758402821184 + 296754817324329 = 4214072^2 + 17226573^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 314513220145513 - 2³⁷ = 314375781192041 is a prime.

It is a super-3 number, since 3×314513220145513³ (a number of 44 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (314513290145513) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 429347398 + ... + 430079311.

It is an arithmetic number, because the mean of its divisors is an integer number (39479914490625).

Almost surely, 2^{314513220145513} is an apocalyptic number.

It is an amenable number.

314513220145513 is a deficient number, since it is larger than the sum of its proper divisors (1326095779487).

314513220145513 is a wasteful number, since it uses less digits than its factorization.

314513220145513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 859428251.

The product of its (nonzero) digits is 216000, while the sum is 40.

The spelling of 314513220145513 in words is "three hundred fourteen trillion, five hundred thirteen billion, two hundred twenty million, one hundred forty-five thousand, five hundred thirteen".