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906531125 = 5326932
BaseRepresentation
bin110110000010001…
…001000100110101
32100011210112220212
4312002021010311
53324032444000
6225542035205
731315246613
oct6602110465
92304715825
10906531125
11425793285
12213718b05
13115a72366
148857a6b3
15548bbc35
hex36089135

906531125 has 12 divisors (see below), whose sum is σ = 1131771108. Its totient is φ = 724955600.

The previous prime is 906531077. The next prime is 906531139. The reversal of 906531125 is 521135609.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 6 ways, for example, as 372412804 + 534118321 = 19298^2 + 23111^2 .

It is not a de Polignac number, because 906531125 - 212 = 906527029 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 906531091 and 906531100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 335279 + ... + 337971.

It is an arithmetic number, because the mean of its divisors is an integer number (94314259).

Almost surely, 2906531125 is an apocalyptic number.

It is an amenable number.

906531125 is a deficient number, since it is larger than the sum of its proper divisors (225239983).

906531125 is an frugal number, since it uses more digits than its factorization.

906531125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5401 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 906531125 is about 30108.6553170347. The cubic root of 906531125 is about 967.8192141976.

The spelling of 906531125 in words is "nine hundred six million, five hundred thirty-one thousand, one hundred twenty-five".

Divisors: 1 5 25 125 2693 13465 67325 336625 7252249 36261245 181306225 906531125