314020525020413 has 32 divisors (see below), whose sum is σ = 324682188134400. Its totient is φ = 303578631720000.

The previous prime is 314020525020373. The next prime is 314020525020439.

314020525020413 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 314020525020413 - 2¹⁰ = 314020525019389 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 314020525020413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314020525020493) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9033165170 + ... + 9033199932.

It is an arithmetic number, because the mean of its divisors is an integer number (10146318379200).

Almost surely, 2^{314020525020413} is an apocalyptic number.

It is an amenable number.

314020525020413 is a deficient number, since it is larger than the sum of its proper divisors (10661663113987).

314020525020413 is a wasteful number, since it uses less digits than its factorization.

314020525020413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45113.

The product of its (nonzero) digits is 28800, while the sum is 32.

The spelling of 314020525020413 in words is "three hundred fourteen trillion, twenty billion, five hundred twenty-five million, twenty thousand, four hundred thirteen".