434530909614025 has 81 divisors (see below), whose sum is σ = 628586029835253. Its totient is φ = 297112058913600.

The previous prime is 434530909614013. The next prime is 434530909614031. The reversal of 434530909614025 is 520416909035434.

It is a happy number.

The square root of 434530909614025 is 20845405.

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 190617481732041 + 243913427881984 = 13806429^2 + 15617728^2 .

It is not a de Polignac number, because 434530909614025 - 2⁵ = 434530909613993 is a prime.

It is a super-3 number, since 3×434530909614025³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 358228284319 + ... + 358228285531.

Almost surely, 2^{434530909614025} is an apocalyptic number.

434530909614025 is the 20845405-th square number.

434530909614025 is the 10422703-rd centered octagonal number.

It is an amenable number.

434530909614025 is a deficient number, since it is larger than the sum of its proper divisors (194055120221228).

434530909614025 is an frugal number, since it uses more digits than its factorization.

434530909614025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3432 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 55.

The spelling of 434530909614025 in words is "four hundred thirty-four trillion, five hundred thirty billion, nine hundred nine million, six hundred fourteen thousand, twenty-five".