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58281202225 = 525329112
BaseRepresentation
bin110110010001110101…
…001001001000110001
312120102201100211110101
4312101311021020301
51423324441432400
642435104232401
74132156021321
oct662165111061
9176381324411
1058281202225
1122798245934
12b36630b701
13565a62b79c
142b6c4b7281
1517b18d956a
hexd91d49231

58281202225 has 27 divisors (see below), whose sum is σ = 73738921249. Its totient is φ = 45695031200.

The previous prime is 58281202219. The next prime is 58281202247. The reversal of 58281202225 is 52220218285.

The square root of 58281202225 is 241415.

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 439028209 + 57842174016 = 20953^2 + 240504^2 .

It is not a de Polignac number, because 58281202225 - 27 = 58281202097 is a prime.

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, 63974520 + ... + 63975430.

Almost surely, 258281202225 is an apocalyptic number.

58281202225 is the 241415-th square number.

58281202225 is the 120708-th centered octagonal number.

It is an amenable number.

58281202225 is a deficient number, since it is larger than the sum of its proper divisors (15457719024).

58281202225 is an frugal number, since it uses more digits than its factorization.

58281202225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 969 counting only the distinct ones).

The product of its (nonzero) digits is 51200, while the sum is 37.

The spelling of 58281202225 in words is "fifty-eight billion, two hundred eighty-one million, two hundred two thousand, two hundred twenty-five".

Divisors: 1 5 25 53 265 911 1325 2809 4555 14045 22775 48283 70225 241415 829921 1207075 2558999 4149605 12794995 20748025 43985813 63974975 219929065 1099645325 2331248089 11656240445 58281202225