432181334025 has 135 divisors (see below), whose sum is σ = 931697570199. Its totient is φ = 197473943520.

The previous prime is 432181334017. The next prime is 432181334077. The reversal of 432181334025 is 520433181234.

The square root of 432181334025 is 657405.

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

432181334025 is a `hidden beast` number, since 4 + 3 + 218 + 1 + 33 + 402 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 155585280249 + 276596053776 = 394443^2 + 525924^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 432181334025 - 2³ = 432181334017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 207081532 + ... + 207083618.

Almost surely, 2^432181334025 is an apocalyptic number.

432181334025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

432181334025 is the 657405-th square number.

432181334025 is the 328703-rd centered octagonal number.

It is an amenable number.

432181334025 is an abundant number, since it is smaller than the sum of its proper divisors (499516236174).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

432181334025 is an frugal number, since it uses more digits than its factorization.

432181334025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210 (or 2102 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 432181334025 by its sum of digits (36), we get a square (15558528024900 = 3944430²).

The spelling of 432181334025 in words is "four hundred thirty-two billion, one hundred eighty-one million, three hundred thirty-four thousand, twenty-five".