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12425625 = 3254472
BaseRepresentation
bin101111011001…
…100110011001
3212101021202100
4233121212121
511140110000
61122154013
7210421212
oct57314631
925337670
1012425625
117017613
1241b2909
132760954
141916409
151156a00
hexbd9999

12425625 has 45 divisors (see below), whose sum is σ = 22915321. Its totient is φ = 6486000.

The previous prime is 12425597. The next prime is 12425629. The reversal of 12425625 is 52652421.

The square root of 12425625 is 3525.

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

12425625 is a `hidden beast` number, since 12 + 4 + 25 + 625 = 666.

12425625 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 974169 + 11451456 = 987^2 + 3384^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 12425625 - 211 = 12423577 is a prime.

It is a Duffinian number.

Its product of digits (4800) is a multiple of the sum of its prime factors (120).

It is not an unprimeable number, because it can be changed into a prime (12425629) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 264352 + ... + 264398.

Almost surely, 212425625 is an apocalyptic number.

12425625 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12425625 is the 3525-th square number.

12425625 is the 1763-rd centered octagonal number.

It is an amenable number.

12425625 is a deficient number, since it is larger than the sum of its proper divisors (10489696).

12425625 is an frugal number, since it uses more digits than its factorization.

12425625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120 (or 55 counting only the distinct ones).

The product of its digits is 4800, while the sum is 27.

The cubic root of 12425625 is about 231.6182348480.

The spelling of 12425625 in words is "twelve million, four hundred twenty-five thousand, six hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 47 75 125 141 225 235 375 423 625 705 1125 1175 1875 2115 2209 3525 5625 5875 6627 10575 11045 17625 19881 29375 33135 52875 55225 88125 99405 165675 264375 276125 497025 828375 1380625 2485125 4141875 12425625