304151147001 has 81 divisors (see below), whose sum is σ = 484528410639. Its totient is φ = 183768290784.

The previous prime is 304151146979. The next prime is 304151147009. The reversal of 304151147001 is 100741151403.

The square root of 304151147001 is 551499.

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

It can be written as a sum of positive squares in only one way, i.e., 44992773225 + 259158373776 = 212115^2 + 509076^2 .

It is not a de Polignac number, because 304151147001 - 2²¹ = 304149049849 is a prime.

It is a super-2 number, since 2×304151147001² (a number of 24 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (304151147009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1699168330 + ... + 1699168508.

Almost surely, 2^304151147001 is an apocalyptic number.

304151147001 is the 551499-th square number.

304151147001 is the 275750-th centered octagonal number.

It is an amenable number.

304151147001 is a deficient number, since it is larger than the sum of its proper divisors (180377263638).

304151147001 is an equidigital number, since it uses as much as digits as its factorization.

304151147001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 548 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

Adding to 304151147001 its reverse (100741151403), we get a palindrome (404892298404).

The spelling of 304151147001 in words is "three hundred four billion, one hundred fifty-one million, one hundred forty-seven thousand, one".