5431300165225 has 27 divisors (see below), whose sum is σ = 7402902172869. Its totient is φ = 3949943263200.

The previous prime is 5431300165223. The next prime is 5431300165241. The reversal of 5431300165225 is 5225610031345.

The square root of 5431300165225 is 2330515.

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 2180693098089 + 3250607067136 = 1476717^2 + 1802944^2 .

It is not a de Polignac number, because 5431300165225 - 2¹ = 5431300165223 is a prime.

It is a super-3 number, since 3×5431300165225³ (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5431300165223) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 128157139 + ... + 128199511.

Almost surely, 2^{5431300165225} is an apocalyptic number.

5431300165225 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

5431300165225 is the 2330515-th square number.

5431300165225 is the 1165258-th centered octagonal number.

It is an amenable number.

5431300165225 is a deficient number, since it is larger than the sum of its proper divisors (1971602007644).

5431300165225 is an frugal number, since it uses more digits than its factorization.

5431300165225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84778 (or 42389 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 37.

The spelling of 5431300165225 in words is "five trillion, four hundred thirty-one billion, three hundred million, one hundred sixty-five thousand, two hundred twenty-five".