30006742021281 has 63 divisors (see below), whose sum is σ = 47035977544227. Its totient is φ = 19132564817520.

The previous prime is 30006742021279. The next prime is 30006742021283. The reversal of 30006742021281 is 18212024760003.

It is a happy number.

The square root of 30006742021281 is 5477841.

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

30006742021281 is a `hidden beast` number, since 300 + 0 + 6 + 74 + 2 + 0 + 2 + 1 + 281 = 666.

It is an interprime number because it is at equal distance from previous prime (30006742021279) and next prime (30006742021283).

It can be written as a sum of positive squares in only one way, i.e., 19009957521681 + 10996784499600 = 4360041^2 + 3316140^2 .

It is not a de Polignac number, because 30006742021281 - 2¹ = 30006742021279 is a prime.

It is a super-2 number, since 2×30006742021281² (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (30006742021283) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3401734851 + ... + 3401743671.

Almost surely, 2^{30006742021281} is an apocalyptic number.

30006742021281 is the 5477841-st square number.

30006742021281 is the 2738921-st centered octagonal number.

It is an amenable number.

30006742021281 is a deficient number, since it is larger than the sum of its proper divisors (17029235522946).

30006742021281 is an frugal number, since it uses more digits than its factorization.

30006742021281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17706 (or 8847 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Adding to 30006742021281 its reverse (18212024760003), we get a palindrome (48218766781284).

The spelling of 30006742021281 in words is "thirty trillion, six billion, seven hundred forty-two million, twenty-one thousand, two hundred eighty-one".