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425332230625 = 5419213732
BaseRepresentation
bin1100011000001111100…
…01101100100111100001
31111122212010122000112201
412030013301230213201
523432040022340000
6523221145453201
742505062210541
oct6140761544741
91448763560481
10425332230625
11154422a57195
126a522aa1201
1331154948a13
141682c70d321
15b0e584496a
hex6307c6c9e1

425332230625 has 45 divisors (see below), whose sum is σ = 561349719183. Its totient is φ = 322122276000.

The previous prime is 425332230623. The next prime is 425332230667. The reversal of 425332230625 is 526032233524.

The square root of 425332230625 is 652175.

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

It can be written as a sum of positive squares in 7 ways, for example, as 62017435089 + 363314795536 = 249033^2 + 602756^2 .

It is not a de Polignac number, because 425332230625 - 21 = 425332230623 is a prime.

It is a super-3 number, since 3×4253322306253 (a number of 36 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (425332230623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 309782439 + ... + 309783811.

Almost surely, 2425332230625 is an apocalyptic number.

425332230625 is the 652175-th square number.

425332230625 is the 326088-th centered octagonal number.

It is an amenable number.

425332230625 is a deficient number, since it is larger than the sum of its proper divisors (136017488558).

425332230625 is an frugal number, since it uses more digits than its factorization.

425332230625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2804 (or 1397 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 37.

The spelling of 425332230625 in words is "four hundred twenty-five billion, three hundred thirty-two million, two hundred thirty thousand, six hundred twenty-five".

Divisors: 1 5 19 25 95 125 361 475 625 1373 1805 2375 6865 9025 11875 26087 34325 45125 130435 171625 225625 495653 652175 858125 1885129 2478265 3260875 9425645 12391325 16304375 35817451 47128225 61956625 179087255 235641125 309783125 680531569 895436275 1178205625 3402657845 4477181375 17013289225 22385906875 85066446125 425332230625