427372308810225 has 27 divisors (see below), whose sum is σ = 765471846305803. Its totient is φ = 227931732648240.

The previous prime is 427372308810211. The next prime is 427372308810257. The reversal of 427372308810225 is 522018803273724.

It is a happy number.

The square root of 427372308810225 is 20672985.

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

427372308810225 is a `hidden beast` number, since 4 + 2 + 7 + 37 + 2 + 308 + 81 + 0 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 153854031171681 + 273518277638544 = 12403791^2 + 16538388^2 .

It is not a de Polignac number, because 427372308810225 - 2⁹ = 427372308809713 is a prime.

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, 309405676 + ... + 310783874.

Almost surely, 2^{427372308810225} is an apocalyptic number.

427372308810225 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

427372308810225 is the 20672985-th square number.

427372308810225 is the 10336493-rd centered octagonal number.

It is an amenable number.

427372308810225 is a deficient number, since it is larger than the sum of its proper divisors (338099537495578).

427372308810225 is an frugal number, since it uses more digits than its factorization.

427372308810225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2756414 (or 1378207 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 54.

The spelling of 427372308810225 in words is "four hundred twenty-seven trillion, three hundred seventy-two billion, three hundred eight million, eight hundred ten thousand, two hundred twenty-five".