306157489225 has 27 divisors (see below), whose sum is σ = 441644494197. Its totient is φ = 209923284480.

The previous prime is 306157489217. The next prime is 306157489259. The reversal of 306157489225 is 522984751603.

The square root of 306157489225 is 553315.

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 137916419641 + 168241069584 = 371371^2 + 410172^2 .

It is not a de Polignac number, because 306157489225 - 2³ = 306157489217 is a prime.

It is a super-2 number, since 2×306157489225² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19358121 + ... + 19373929.

It is a 2-persistent number, because it is pandigital, and so is 2⋅306157489225 = 612314978450, but 3⋅306157489225 = 918472467675 is not.

Almost surely, 2^306157489225 is an apocalyptic number.

306157489225 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

306157489225 is the 553315-th square number.

306157489225 is the 276658-th centered octagonal number.

It is an amenable number.

306157489225 is a deficient number, since it is larger than the sum of its proper divisors (135487004972).

306157489225 is an frugal number, since it uses more digits than its factorization.

306157489225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31642 (or 15821 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 52.

The spelling of 306157489225 in words is "three hundred six billion, one hundred fifty-seven million, four hundred eighty-nine thousand, two hundred twenty-five".