320413734601 has 27 divisors (see below), whose sum is σ = 336655299253. Its totient is φ = 304942994720.

The previous prime is 320413734587. The next prime is 320413734607. The reversal of 320413734601 is 106437314023.

The square root of 320413734601 is 566051.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 51301797001 + 269111937600 = 226499^2 + 518760^2 .

It is not a de Polignac number, because 320413734601 - 2²⁹ = 319876863689 is a prime.

It is a super-2 number, since 2×320413734601² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (320413734607) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2150427675 + ... + 2150427823.

Almost surely, 2^320413734601 is an apocalyptic number.

320413734601 is the 566051-st square number.

320413734601 is the 283026-th centered octagonal number.

It is an amenable number.

320413734601 is a deficient number, since it is larger than the sum of its proper divisors (16241564652).

320413734601 is an frugal number, since it uses more digits than its factorization.

320413734601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 618 (or 309 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 34.

The spelling of 320413734601 in words is "three hundred twenty billion, four hundred thirteen million, seven hundred thirty-four thousand, six hundred one".