410528525625 has 45 divisors (see below), whose sum is σ = 741081613129. Its totient is φ = 218922918000.

The previous prime is 410528525599. The next prime is 410528525663. The reversal of 410528525625 is 526525825014.

The square root of 410528525625 is 640725.

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

410528525625 is a `hidden beast` number, since 4 + 1 + 0 + 5 + 2 + 85 + 2 + 562 + 5 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 32185436409 + 378343089216 = 179403^2 + 615096^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 410528525625 - 2⁵ = 410528525593 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 48050104 + ... + 48058646.

Almost surely, 2^410528525625 is an apocalyptic number.

410528525625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

410528525625 is the 640725-th square number.

410528525625 is the 320363-rd centered octagonal number.

It is an amenable number.

410528525625 is a deficient number, since it is larger than the sum of its proper divisors (330553087504).

410528525625 is an frugal number, since it uses more digits than its factorization.

410528525625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17112 (or 8551 counting only the distinct ones).

The product of its (nonzero) digits is 960000, while the sum is 45.

The spelling of 410528525625 in words is "four hundred ten billion, five hundred twenty-eight million, five hundred twenty-five thousand, six hundred twenty-five".