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632250125 = 531321732
BaseRepresentation
bin100101101011110…
…101111100001101
31122001200122010022
4211223311330031
52243324001000
6142423151525
721445015553
oct4553657415
91561618108
10632250125
112a4985971
121578a55a5
13a0caab00
145dd7dbd3
153a78d585
hex25af5f0d

632250125 has 36 divisors (see below), whose sum is σ = 859380444. Its totient is φ = 464193600.

The previous prime is 632250121. The next prime is 632250127. The reversal of 632250125 is 521052236.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 18 ways, for example, as 587480644 + 44769481 = 24238^2 + 6691^2 .

It is not a de Polignac number, because 632250125 - 22 = 632250121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 632250094 and 632250103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (632250121) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3654539 + ... + 3654711.

It is an arithmetic number, because the mean of its divisors is an integer number (23871679).

Almost surely, 2632250125 is an apocalyptic number.

632250125 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

632250125 is a deficient number, since it is larger than the sum of its proper divisors (227130319).

632250125 is an equidigital number, since it uses as much as digits as its factorization.

632250125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 632250125 is about 25144.5844069851. The cubic root of 632250125 is about 858.2812821255.

The spelling of 632250125 in words is "six hundred thirty-two million, two hundred fifty thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 169 173 325 845 865 1625 2249 4225 4325 11245 21125 21625 29237 29929 56225 146185 149645 281125 389077 730925 748225 1945385 3654625 3741125 5058001 9726925 25290005 48634625 126450025 632250125