330548797362001 has 9 divisors (see below), whose sum is σ = 333993429986961. Its totient is φ = 327139332425472.

The previous prime is 330548797361911. The next prime is 330548797362019. The reversal of 330548797362001 is 100263797845033.

The square root of 330548797362001 is 18181001.

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 3971853688401 + 326576943673600 = 1992951^2 + 18071440^2 .

It is not a de Polignac number, because 330548797362001 - 2¹³ = 330548797353809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (330548797362031) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1763463381 + ... + 1763650813.

It is a 1-persistent number, because it is pandigital, but 2⋅330548797362001 = 661097594724002 is not.

Almost surely, 2^{330548797362001} is an apocalyptic number.

330548797362001 is the 18181001-st square number.

330548797362001 is the 9090501-st centered octagonal number.

It is an amenable number.

330548797362001 is a deficient number, since it is larger than the sum of its proper divisors (3444632624960).

330548797362001 is an frugal number, since it uses more digits than its factorization.

330548797362001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375060 (or 187530 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 58.

The spelling of 330548797362001 in words is "three hundred thirty trillion, five hundred forty-eight billion, seven hundred ninety-seven million, three hundred sixty-two thousand, one".