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53659406025 = 3252154432
BaseRepresentation
bin110001111110010110…
…011000111011001001
312010111121122020222100
4301332112120323021
51334343301443100
640352323144013
73606505265661
oct617626307311
9163447566870
1053659406025
1120836376a55
12a496515009
1350a1c4c634
1428507451a1
1515e0c8d400
hexc7e598ec9

53659406025 has 27 divisors (see below), whose sum is σ = 96116182279. Its totient is φ = 28616496720.

The previous prime is 53659405981. The next prime is 53659406039. The reversal of 53659406025 is 52060495635.

The square root of 53659406025 is 231645.

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

53659406025 is a `hidden beast` number, since 5 + 36 + 5 + 9 + 4 + 0 + 602 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19317386169 + 34342019856 = 138987^2 + 185316^2 .

It is not a de Polignac number, because 53659406025 - 211 = 53659403977 is a prime.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3466954 + ... + 3482396.

Almost surely, 253659406025 is an apocalyptic number.

53659406025 is the 231645-th square number.

53659406025 is the 115823-rd centered octagonal number.

It is an amenable number.

53659406025 is a deficient number, since it is larger than the sum of its proper divisors (42456776254).

53659406025 is an frugal number, since it uses more digits than its factorization.

53659406025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30902 (or 15451 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

It can be divided in two parts, 53659 and 406025, that added together give a square (459684 = 6782).

The spelling of 53659406025 in words is "fifty-three billion, six hundred fifty-nine million, four hundred six thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 15443 46329 77215 138987 231645 386075 694935 1158225 3474675 238486249 715458747 1192431245 2146376241 3577293735 5962156225 10731881205 17886468675 53659406025