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10523125 = 54113149
BaseRepresentation
bin101000001001…
…000111110101
3201210122000101
4220021013311
510143220000
61013314101
7155305444
oct50110765
921718011
1010523125
115a381a8
123635931
132245a02
14157cd5b
15dcce6a
hexa091f5

10523125 has 20 divisors (see below), whose sum is σ = 13355100. Its totient is φ = 8288000.

The previous prime is 10523113. The next prime is 10523137. The reversal of 10523125 is 52132501.

It is an interprime number because it is at equal distance from previous prime (10523113) and next prime (10523137).

It can be written as a sum of positive squares in 10 ways, for example, as 10504081 + 19044 = 3241^2 + 138^2 .

It is not a de Polignac number, because 10523125 - 27 = 10522997 is a prime.

It is a super-2 number, since 2×105231252 = 221472319531250, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 70551 + ... + 70699.

It is an arithmetic number, because the mean of its divisors is an integer number (667755).

Almost surely, 210523125 is an apocalyptic number.

It is an amenable number.

10523125 is a deficient number, since it is larger than the sum of its proper divisors (2831975).

10523125 is an equidigital number, since it uses as much as digits as its factorization.

10523125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 10523125 is about 3243.9366516626. The cubic root of 10523125 is about 219.1365952821.

Adding to 10523125 its reverse (52132501), we get a palindrome (62655626).

It can be divided in two parts, 10523 and 125, that added together give a cube (10648 = 223).

The spelling of 10523125 in words is "ten million, five hundred twenty-three thousand, one hundred twenty-five".

Divisors: 1 5 25 113 125 149 565 625 745 2825 3725 14125 16837 18625 70625 84185 93125 420925 2104625 10523125