497765525625 has 135 divisors (see below), whose sum is σ = 941519397819. Its totient is φ = 253311696000.

The previous prime is 497765525611. The next prime is 497765525669. The reversal of 497765525625 is 526525567794.

The square root of 497765525625 is 705525.

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

497765525625 is a `hidden beast` number, since 4 + 9 + 7 + 7 + 6 + 552 + 56 + 25 = 666.

497765525625 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 7 ways, for example, as 150212830329 + 347552695296 = 387573^2 + 589536^2 .

It is not a de Polignac number, because 497765525625 - 2³¹ = 495618041977 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1217030421 + ... + 1217030829.

Almost surely, 2^497765525625 is an apocalyptic number.

497765525625 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

497765525625 is the 705525-th square number.

497765525625 is the 352763-rd centered octagonal number.

It is an amenable number.

497765525625 is a deficient number, since it is larger than the sum of its proper divisors (443753872194).

497765525625 is an frugal number, since it uses more digits than its factorization.

497765525625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890 (or 440 counting only the distinct ones).

The product of its digits is 158760000, while the sum is 63.

The spelling of 497765525625 in words is "four hundred ninety-seven billion, seven hundred sixty-five million, five hundred twenty-five thousand, six hundred twenty-five".