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2125825 = 521331211
BaseRepresentation
bin1000000111000000000001
311000000002021
420013000001
51021011300
6113321441
724032512
oct10070001
94000067
102125825
111222189
12866281
135957b0
143d4a09
152bed1a
hex207001

2125825 has 24 divisors (see below), whose sum is σ = 2944256. Its totient is φ = 1512000.

The previous prime is 2125819. The next prime is 2125831. The reversal of 2125825 is 5285212.

It is an interprime number because it is at equal distance from previous prime (2125819) and next prime (2125831).

It is not a de Polignac number, because 2125825 - 25 = 2125793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (25).

2125825 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 2125825.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9970 + ... + 10180.

It is a Proth number, since it is equal to 519 ⋅ 212 + 1 and 519 < 212.

22125825 is an apocalyptic number.

2125825 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2125825 is a deficient number, since it is larger than the sum of its proper divisors (818431).

2125825 is a wasteful number, since it uses less digits than its factorization.

2125825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 265 (or 260 counting only the distinct ones).

The product of its digits is 1600, while the sum is 25.

The square root of 2125825 is about 1458.0209189171. The cubic root of 2125825 is about 128.5807150847.

The spelling of 2125825 in words is "two million, one hundred twenty-five thousand, eight hundred twenty-five".

Divisors: 1 5 13 25 31 65 155 211 325 403 775 1055 2015 2743 5275 6541 10075 13715 32705 68575 85033 163525 425165 2125825