465076261225 has 9 divisors (see below), whose sum is σ = 576698792133. Its totient is φ = 372058281120.

The previous prime is 465076261219. The next prime is 465076261249. The reversal of 465076261225 is 522162670564.

It is a happy number.

The square root of 465076261225 is 681965.

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 33842385369 + 431233875856 = 183963^2 + 656684^2 .

It is not a de Polignac number, because 465076261225 - 2³ = 465076261217 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 (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3341629 + ... + 3478021.

Almost surely, 2^465076261225 is an apocalyptic number.

465076261225 is the 681965-th square number.

465076261225 is the 340983-rd centered octagonal number.

It is an amenable number.

465076261225 is a deficient number, since it is larger than the sum of its proper divisors (111622530908).

465076261225 is an frugal number, since it uses more digits than its factorization.

465076261225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272796 (or 136398 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 465076261225 in words is "four hundred sixty-five billion, seventy-six million, two hundred sixty-one thousand, two hundred twenty-five".