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15125310225 = 36529112
BaseRepresentation
bin11100001011000100…
…11110101100010001
31110001002221101000000
432011202132230101
5221434034411400
610540511520213
71043551005234
oct160542365421
943032841000
1015125310225
116461930493
122b21529069
1315707b200c
14a36b2341b
155d7d18600
hex38589eb11

15125310225 has 63 divisors (see below), whose sum is σ = 28151114539. Its totient is φ = 8057977200.

The previous prime is 15125310197. The next prime is 15125310229. The reversal of 15125310225 is 52201352151.

The square root of 15125310225 is 122985.

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

15125310225 is a `hidden beast` number, since 1 + 5 + 125 + 310 + 225 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5445111681 + 9680198544 = 73791^2 + 98388^2 .

It is a de Polignac number, because none of the positive numbers 2k-15125310225 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (15125310229) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 16602520 + ... + 16603430.

Almost surely, 215125310225 is an apocalyptic number.

15125310225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

15125310225 is the 122985-th square number.

15125310225 is the 61493-rd centered octagonal number.

It is an amenable number.

15125310225 is a deficient number, since it is larger than the sum of its proper divisors (13025804314).

15125310225 is an frugal number, since it uses more digits than its factorization.

15125310225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1850 (or 919 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 15125310225 its reverse (52201352151), we get a palindrome (67326662376).

The spelling of 15125310225 in words is "fifteen billion, one hundred twenty-five million, three hundred ten thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 243 405 675 729 911 1215 2025 2733 3645 4555 6075 8199 13665 18225 22775 24597 40995 68325 73791 122985 204975 221373 368955 614925 664119 829921 1106865 1844775 2489763 3320595 4149605 5534325 7469289 12448815 16602975 20748025 22407867 37346445 62244075 67223601 112039335 186732225 201670803 336118005 560196675 605012409 1008354015 1680590025 3025062045 5041770075 15125310225