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537604236225 = 32527269832
BaseRepresentation
bin1111101001010111011…
…01011010001111000001
31220101122120012211200100
413310223231122033001
532302003141024400
61050545540313013
753561222416200
oct7645355321701
91811576184610
10537604236225
11197aa6637781
12882366a2769
133b907a68924
141c03d555237
15deb712e100
hex7d2bb5a3c1

537604236225 has 81 divisors (see below), whose sum is σ = 1120278970083. Its totient is φ = 245726742240.

The previous prime is 537604236203. The next prime is 537604236227. The reversal of 537604236225 is 522632406735.

The square root of 537604236225 is 733215.

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

537604236225 is a `hidden beast` number, since 5 + 3 + 7 + 604 + 2 + 36 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 193537525041 + 344066711184 = 439929^2 + 586572^2 .

It is not a de Polignac number, because 537604236225 - 225 = 537570681793 is a prime.

It is a super-3 number, since 3×5376042362253 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (537604236227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 76984084 + ... + 76991066.

Almost surely, 2537604236225 is an apocalyptic number.

537604236225 is the 733215-th square number.

537604236225 is the 366608-th centered octagonal number.

It is an amenable number.

537604236225 is an abundant number, since it is smaller than the sum of its proper divisors (582674733858).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

537604236225 is an frugal number, since it uses more digits than its factorization.

537604236225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13996 (or 6998 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 537604236225 in words is "five hundred thirty-seven billion, six hundred four million, two hundred thirty-six thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 49 63 75 105 147 175 225 245 315 441 525 735 1225 1575 2205 3675 6983 11025 20949 34915 48881 62847 104745 146643 174575 244405 314235 342167 439929 523725 733215 1026501 1222025 1571175 1710835 2199645 3079503 3666075 5132505 8554175 10998225 15397515 25662525 48762289 76987575 146286867 243811445 341336023 438860601 731434335 1024008069 1219057225 1706680115 2194303005 2389352161 3072024207 3657171675 5120040345 7168056483 8533400575 10971515025 11946760805 15360121035 21504169449 25600201725 35840282415 59733804025 76800605175 107520847245 179201412075 537604236225