30904515627489 has 45 divisors (see below), whose sum is σ = 53703920341731. Its totient is φ = 17659523085120.

The previous prime is 30904515627467. The next prime is 30904515627509. The reversal of 30904515627489 is 98472651540903.

The square root of 30904515627489 is 5559183.

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

30904515627489 is a `hidden beast` number, since 3 + 0 + 90 + 4 + 5 + 1 + 5 + 62 + 7 + 489 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30035145867489 + 869369760000 = 5480433^2 + 932400^2 .

It is not a de Polignac number, because 30904515627489 - 2¹⁵ = 30904515594721 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (30904515627409) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 350184409 + ... + 350272649.

It is a 2-persistent number, because it is pandigital, and so is 2⋅30904515627489 = 61809031254978, but 3⋅30904515627489 = 92713546882467 is not.

Almost surely, 2^{30904515627489} is an apocalyptic number.

30904515627489 is the 5559183-rd square number.

30904515627489 is the 2779592-nd centered octagonal number.

It is an amenable number.

30904515627489 is a deficient number, since it is larger than the sum of its proper divisors (22799404714242).

30904515627489 is an frugal number, since it uses more digits than its factorization.

30904515627489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176508 (or 88251 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 30904515627489 in words is "thirty trillion, nine hundred four billion, five hundred fifteen million, six hundred twenty-seven thousand, four hundred eighty-nine".