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631265625 = 3256672
BaseRepresentation
bin100101101000000…
…101100101011001
31121222211121122100
4211220011211121
52243101000000
6142350114013
721433445364
oct4550054531
91558747570
10631265625
112a4373231
121574ab909
13a0a24973
145dba50db
153a646a00
hex25a05959

631265625 has 63 divisors (see below), whose sum is σ = 1157035971. Its totient is φ = 331650000.

The previous prime is 631265527. The next prime is 631265627. The reversal of 631265625 is 526562136.

It is a happy number.

The square root of 631265625 is 25125.

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

631265625 is a `hidden beast` number, since 6 + 3 + 1 + 26 + 5 + 625 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 553049289 + 78216336 = 23517^2 + 8844^2 .

It is not a de Polignac number, because 631265625 - 29 = 631265113 is a prime.

Its product of digits (64800) is a multiple of the sum of its prime divisors (75).

It is a self number, because there is not a number n which added to its sum of digits gives 631265625.

It is not an unprimeable number, because it can be changed into a prime (631265627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 9421842 + ... + 9421908.

Almost surely, 2631265625 is an apocalyptic number.

631265625 is the 25125-th square number.

631265625 is the 12563-rd centered octagonal number.

It is an amenable number.

631265625 is a deficient number, since it is larger than the sum of its proper divisors (525770346).

631265625 is an frugal number, since it uses more digits than its factorization.

631265625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 75 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The cubic root of 631265625 is about 857.8355635452.

Multiplying 631265625 by its sum of digits (36), we get a square (22725562500 = 1507502).

It can be divided in two parts, 631 and 265625, that added together give a square (266256 = 5162).

The spelling of 631265625 in words is "six hundred thirty-one million, two hundred sixty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 67 75 125 201 225 335 375 603 625 1005 1125 1675 1875 3015 3125 4489 5025 5625 8375 9375 13467 15075 15625 22445 25125 28125 40401 41875 46875 67335 75375 112225 125625 140625 202005 209375 336675 376875 561125 628125 1010025 1046875 1683375 1884375 2805625 3140625 5050125 8416875 9421875 14028125 25250625 42084375 70140625 126253125 210421875 631265625