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5207787225 = 32521722832
BaseRepresentation
bin1001101100110100…
…01000011011011001
3111102221101000001100
410312122020123121
541131143142400
62220432542013
7243024314064
oct46632103331
914387330040
105207787225
112232729693
1210140b1909
1364cc11504
1437590d8db
152072ed100
hex1366886d9

5207787225 has 81 divisors (see below), whose sum is σ = 9943827933. Its totient is φ = 2604867840.

The previous prime is 5207787131. The next prime is 5207787229. The reversal of 5207787225 is 5227877025.

The square root of 5207787225 is 72165.

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

It can be written as a sum of positive squares in 4 ways, for example, as 121815369 + 5085971856 = 11037^2 + 71316^2 .

It is not a de Polignac number, because 5207787225 - 27 = 5207787097 is a prime.

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 (5207787229) 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, 18401934 + ... + 18402216.

Almost surely, 25207787225 is an apocalyptic number.

5207787225 is the 72165-th square number.

5207787225 is the 36083-rd centered octagonal number.

It is an amenable number.

5207787225 is a deficient number, since it is larger than the sum of its proper divisors (4736040708).

5207787225 is a wasteful number, since it uses less digits than its factorization.

5207787225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 548800, while the sum is 45.

The cubic root of 5207787225 is about 1733.3425996998.

The spelling of 5207787225 in words is "five billion, two hundred seven million, seven hundred eighty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 283 289 425 765 849 867 1275 1415 1445 2547 2601 3825 4245 4335 4811 7075 7225 12735 13005 14433 21225 21675 24055 43299 63675 65025 72165 80089 81787 120275 216495 240267 245361 360825 400445 408935 720801 736083 1082475 1201335 1226805 1361513 2002225 2044675 3604005 3680415 4084539 6006675 6134025 6807565 12253617 18020025 18402075 20422695 23145721 34037825 61268085 69437163 102113475 115728605 208311489 306340425 347185815 578643025 1041557445 1735929075 5207787225