420607390951225 has 81 divisors (see below), whose sum is σ = 560539294904071. Its totient is φ = 313018774604800.

The previous prime is 420607390951207. The next prime is 420607390951247. The reversal of 420607390951225 is 522159093706024.

The square root of 420607390951225 is 20508715.

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

It can be written as a sum of positive squares in 13 ways, for example, as 283701572094249 + 136905818856976 = 16843443^2 + 11700676^2 .

It is not a de Polignac number, because 420607390951225 - 2⁵ = 420607390951193 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 155148427620 + ... + 155148430330.

Almost surely, 2^{420607390951225} is an apocalyptic number.

420607390951225 is the 20508715-th square number.

420607390951225 is the 10254358-th centered octagonal number.

It is an amenable number.

420607390951225 is a deficient number, since it is larger than the sum of its proper divisors (139931903952846).

420607390951225 is an frugal number, since it uses more digits than its factorization.

420607390951225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5644 (or 2822 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 55.

The spelling of 420607390951225 in words is "four hundred twenty trillion, six hundred seven billion, three hundred ninety million, nine hundred fifty-one thousand, two hundred twenty-five".