Search a number
-
+
58252995493225 = 5213229240492
BaseRepresentation
bin11010011111011000101010…
…00110100111110101101001
321122020221011102012100022221
431033230111012213311221
530113404113321240400
6323521020124514041
715161432350562461
oct1517542506476551
9248227142170287
1058252995493225
1117619a58337a05
1266499a23ab921
132667306b70100
14105566244aba1
156b0462892c1a
hex34fb151a7d69

58252995493225 has 81 divisors (see below), whose sum is σ = 81027747307533. Its totient is φ = 41523973370880.

The previous prime is 58252995493211. The next prime is 58252995493229. The reversal of 58252995493225 is 52239459925285.

The square root of 58252995493225 is 7632365.

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

It can be written as a sum of positive squares in 40 ways, for example, as 29638584121689 + 28614411371536 = 5444133^2 + 5349244^2 .

It is not a de Polignac number, because 58252995493225 - 27 = 58252995493097 is a prime.

It is a super-2 number, since 2×582529954932252 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (58252995493229) 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, 14387006001 + ... + 14387010049.

Almost surely, 258252995493225 is an apocalyptic number.

58252995493225 is the 7632365-th square number.

58252995493225 is the 3816183-rd centered octagonal number.

It is an amenable number.

58252995493225 is a deficient number, since it is larger than the sum of its proper divisors (22774751814308).

58252995493225 is an frugal number, since it uses more digits than its factorization.

58252995493225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8192 (or 4096 counting only the distinct ones).

The product of its digits is 699840000, while the sum is 70.

The spelling of 58252995493225 in words is "fifty-eight trillion, two hundred fifty-two billion, nine hundred ninety-five million, four hundred ninety-three thousand, two hundred twenty-five".

Divisors: 1 5 13 25 29 65 145 169 325 377 725 841 845 1885 4049 4205 4225 4901 9425 10933 20245 21025 24505 52637 54665 101225 117421 122525 142129 263185 273325 587105 684281 710645 1315925 1526473 2935525 3405209 3421405 3553225 7632365 16394401 17026045 17107025 19844149 38161825 44267717 81972005 85130225 99220745 213127213 221338585 409860025 475437629 496103725 575480321 1065636065 1106692925 2377188145 2770653769 2877401605 5328180325 6180689177 11885940725 13787691241 13853268845 14387008025 30903445885 68938456205 69266344225 80348959301 154517229425 179239986133 344692281025 401744796505 896199930665 2008723982525 2330119819729 4480999653325 11650599098645 58252995493225