395697612025 has 27 divisors (see below), whose sum is σ = 496158132519. Its totient is φ = 313053050880.

The previous prime is 395697612001. The next prime is 395697612041. The reversal of 395697612025 is 520216796593.

The square root of 395697612025 is 629045.

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 23934255849 + 371763356176 = 154707^2 + 609724^2 .

It is not a de Polignac number, because 395697612025 - 2²¹ = 395695514873 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 (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 305086177 + ... + 305087473.

Almost surely, 2^395697612025 is an apocalyptic number.

395697612025 is the 629045-th square number.

395697612025 is the 314523-rd centered octagonal number.

It is an amenable number.

395697612025 is a deficient number, since it is larger than the sum of its proper divisors (100460520494).

395697612025 is an frugal number, since it uses more digits than its factorization.

395697612025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2798 (or 1399 counting only the distinct ones).

The product of its (nonzero) digits is 6123600, while the sum is 55.

The spelling of 395697612025 in words is "three hundred ninety-five billion, six hundred ninety-seven million, six hundred twelve thousand, twenty-five".