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10357525 = 52537817
BaseRepresentation
bin100111100000…
…101100010101
3201111012212001
4213200230111
510122420100
61005555301
7154015603
oct47405425
921435761
1010357525
115934842
123575b31
1321b8519
141538873
15d98d6a
hex9e0b15

10357525 has 12 divisors (see below), whose sum is σ = 13087332. Its totient is φ = 8128640.

The previous prime is 10357519. The next prime is 10357561. The reversal of 10357525 is 52575301.

It can be written as a sum of positive squares in 6 ways, for example, as 1542564 + 8814961 = 1242^2 + 2969^2 .

It is not a de Polignac number, because 10357525 - 27 = 10357397 is a prime.

It is a super-3 number, since 3×103575253 (a number of 22 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10357493 and 10357502.

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 11 ways as a sum of consecutive naturals, for example, 2584 + ... + 5233.

It is an arithmetic number, because the mean of its divisors is an integer number (1090611).

Almost surely, 210357525 is an apocalyptic number.

It is an amenable number.

10357525 is a deficient number, since it is larger than the sum of its proper divisors (2729807).

10357525 is an equidigital number, since it uses as much as digits as its factorization.

10357525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7880 (or 7875 counting only the distinct ones).

The product of its (nonzero) digits is 5250, while the sum is 28.

The square root of 10357525 is about 3218.3108923782. The cubic root of 10357525 is about 217.9810114482.

The spelling of 10357525 in words is "ten million, three hundred fifty-seven thousand, five hundred twenty-five".

Divisors: 1 5 25 53 265 1325 7817 39085 195425 414301 2071505 10357525