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125015280625 = 54141432
BaseRepresentation
bin111010001101101111…
…1011100101111110001
3102221200112022021010201
41310123133130233301
54022012402440000
6133233051155201
712013665231544
oct1643337345761
9387615267121
10125015280625
1149022959744
122028b445b01
13ba34266241
14609d46485b
1533ba42996a
hex1d1b7dcbf1

125015280625 has 15 divisors (see below), whose sum is σ = 156230141133. Its totient is φ = 100005153000.

The previous prime is 125015280623. The next prime is 125015280641. The reversal of 125015280625 is 526082510521.

The square root of 125015280625 is 353575.

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

It can be written as a sum of positive squares in 2 ways, for example, as 9801198001 + 115214082624 = 99001^2 + 339432^2 .

It is not a de Polignac number, because 125015280625 - 21 = 125015280623 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (125015280623) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 8832304 + ... + 8846446.

Almost surely, 2125015280625 is an apocalyptic number.

125015280625 is the 353575-th square number.

125015280625 is the 176788-th centered octagonal number.

It is an amenable number.

125015280625 is a deficient number, since it is larger than the sum of its proper divisors (31214860508).

125015280625 is an frugal number, since it uses more digits than its factorization.

125015280625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28306 (or 14148 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 37.

The spelling of 125015280625 in words is "one hundred twenty-five billion, fifteen million, two hundred eighty thousand, six hundred twenty-five".

Divisors: 1 5 25 125 625 14143 70715 353575 1767875 8839375 200024449 1000122245 5000611225 25003056125 125015280625