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520980625 = 54112832
BaseRepresentation
bin11111000011011…
…000100010010001
31100022022120001201
4133003120202101
52031332340000
6123410231201
715624155644
oct3703304221
91308276051
10520980625
11248097500
12126585501
1383c1c979
144d297a5b
1530b0e96a
hex1f0d8891

520980625 has 45 divisors (see below), whose sum is σ = 724306429. Its totient is φ = 374330000.

The previous prime is 520980617. The next prime is 520980631. The reversal of 520980625 is 526089025.

It is a happy number.

The square root of 520980625 is 22825.

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

It can be written as a sum of positive squares in 2 ways, for example, as 40844881 + 480135744 = 6391^2 + 21912^2 .

It is not a de Polignac number, because 520980625 - 23 = 520980617 is a prime.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 6276834 + ... + 6276916.

Almost surely, 2520980625 is an apocalyptic number.

520980625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

520980625 is the 22825-th square number.

520980625 is the 11413-rd centered octagonal number.

It is an amenable number.

520980625 is a deficient number, since it is larger than the sum of its proper divisors (203325804).

520980625 is an frugal number, since it uses more digits than its factorization.

520980625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The cubic root of 520980625 is about 804.6503245779.

The spelling of 520980625 in words is "five hundred twenty million, nine hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 11 25 55 83 121 125 275 415 605 625 913 1375 2075 3025 4565 6875 6889 10043 10375 15125 22825 34445 50215 51875 75625 75779 114125 172225 251075 378895 570625 833569 861125 1255375 1894475 4167845 4305625 6276875 9472375 20839225 47361875 104196125 520980625