431248323025 has 27 divisors (see below), whose sum is σ = 579103884849. Its totient is φ = 318428778720.

The previous prime is 431248323017. The next prime is 431248323061. The reversal of 431248323025 is 520323842134.

The square root of 431248323025 is 656695.

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 111154893201 + 320093429824 = 333399^2 + 565768^2 .

It is not a de Polignac number, because 431248323025 - 2³ = 431248323017 is a prime.

It is a super-2 number, since 2×431248323025² (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, 42680124 + ... + 42690226.

Almost surely, 2^431248323025 is an apocalyptic number.

431248323025 is the 656695-th square number.

431248323025 is the 328348-th centered octagonal number.

It is an amenable number.

431248323025 is a deficient number, since it is larger than the sum of its proper divisors (147855561824).

431248323025 is an frugal number, since it uses more digits than its factorization.

431248323025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20242 (or 10121 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 37.

The spelling of 431248323025 in words is "four hundred thirty-one billion, two hundred forty-eight million, three hundred twenty-three thousand, twenty-five".