427238713225 has 27 divisors (see below), whose sum is σ = 547546671381. Its totient is φ = 330687019200.

The previous prime is 427238713133. The next prime is 427238713243. The reversal of 427238713225 is 522317832724.

The square root of 427238713225 is 653635.

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 38057376889 + 389181336336 = 195083^2 + 623844^2 .

It is not a de Polignac number, because 427238713225 - 2⁹ = 427238712713 is a prime.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

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, 101311317 + ... + 101315533.

Almost surely, 2^427238713225 is an apocalyptic number.

427238713225 is the 653635-th square number.

427238713225 is the 326818-th centered octagonal number.

It is an amenable number.

427238713225 is a deficient number, since it is larger than the sum of its proper divisors (120307958156).

427238713225 is an frugal number, since it uses more digits than its factorization.

427238713225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8506 (or 4253 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 46.

The spelling of 427238713225 in words is "four hundred twenty-seven billion, two hundred thirty-eight million, seven hundred thirteen thousand, two hundred twenty-five".