462053265025 has 81 divisors (see below), whose sum is σ = 669912869577. Its totient is φ = 315836716800.

The previous prime is 462053265019. The next prime is 462053265077. The reversal of 462053265025 is 520562350264.

The square root of 462053265025 is 679745.

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 10807889521 + 451245375504 = 103961^2 + 671748^2 .

It is not a de Polignac number, because 462053265025 - 2³⁵ = 427693526657 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 80 ways as a sum of consecutive naturals, for example, 635561212 + ... + 635561938.

Almost surely, 2^462053265025 is an apocalyptic number.

462053265025 is the 679745-th square number.

462053265025 is the 339873-rd centered octagonal number.

It is an amenable number.

462053265025 is a deficient number, since it is larger than the sum of its proper divisors (207859604552).

462053265025 is an equidigital number, since it uses as much as digits as its factorization.

462053265025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1520 (or 760 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 462053265025 in words is "four hundred sixty-two billion, fifty-three million, two hundred sixty-five thousand, twenty-five".