427042645225 has 27 divisors (see below), whose sum is σ = 616020221271. Its totient is φ = 292813558800.

The previous prime is 427042645157. The next prime is 427042645247. The reversal of 427042645225 is 522546240724.

The square root of 427042645225 is 653485.

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

It can be written as a sum of positive squares in only one way, i.e., 153735352281 + 273307292944 = 392091^2 + 522788^2 .

It is a de Polignac number, because none of the positive numbers 2^k-427042645225 is a prime.

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, 22862640 + ... + 22881310.

Almost surely, 2^427042645225 is an apocalyptic number.

427042645225 is the 653485-th square number.

427042645225 is the 326743-rd centered octagonal number.

It is an amenable number.

427042645225 is a deficient number, since it is larger than the sum of its proper divisors (188977576046).

427042645225 is an frugal number, since it uses more digits than its factorization.

427042645225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37366 (or 18683 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 43.

Adding to 427042645225 its reverse (522546240724), we get a palindrome (949588885949).

The spelling of 427042645225 in words is "four hundred twenty-seven billion, forty-two million, six hundred forty-five thousand, two hundred twenty-five".