329130542601 has 81 divisors (see below), whose sum is σ = 587839374759. Its totient is φ = 176901234048.

The previous prime is 329130542563. The next prime is 329130542621. The reversal of 329130542601 is 106245031923.

The square root of 329130542601 is 573699.

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

329130542601 is a `hidden beast` number, since 3 + 2 + 9 + 1 + 3 + 0 + 5 + 42 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 256243502025 + 72887040576 = 506205^2 + 269976^2 .

It is not a de Polignac number, because 329130542601 - 2⁹ = 329130542089 is a prime.

It is not an unprimeable number, because it can be changed into a prime (329130542621) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 204809740 + ... + 204811346.

Almost surely, 2^329130542601 is an apocalyptic number.

329130542601 is the 573699-th square number.

329130542601 is the 286850-th centered octagonal number.

It is an amenable number.

329130542601 is a deficient number, since it is larger than the sum of its proper divisors (258708832158).

329130542601 is an equidigital number, since it uses as much as digits as its factorization.

329130542601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3268 (or 1634 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 329130542601 by its sum of digits (36), we get a square (11848699533636 = 3442194²).

The spelling of 329130542601 in words is "three hundred twenty-nine billion, one hundred thirty million, five hundred forty-two thousand, six hundred one".