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2523412125 = 325313172541
BaseRepresentation
bin1001011001101000…
…0011011010011101
320111212020121200100
42112122003122131
520131443142000
61054221251313
7116350435443
oct22632033235
96455217610
102523412125
111085444973
125a5103b39
13312a38990
1419d1c6b93
15eb802a00
hex9668369d

2523412125 has 48 divisors (see below), whose sum is σ = 4898812464. Its totient is φ = 1242288000.

The previous prime is 2523412091. The next prime is 2523412127. The reversal of 2523412125 is 5212143252.

2523412125 is a `hidden beast` number, since 2 + 523 + 4 + 12 + 125 = 666.

2523412125 is digitally balanced in base 2, 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 8 ways, for example, as 1373591844 + 1149820281 = 37062^2 + 33909^2 .

It is not a de Polignac number, because 2523412125 - 213 = 2523403933 is a prime.

It is an alternating number because its digits alternate between even and odd.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2523412127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71646 + ... + 100895.

It is an arithmetic number, because the mean of its divisors is an integer number (102058593).

Almost surely, 22523412125 is an apocalyptic number.

2523412125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2523412125 is a deficient number, since it is larger than the sum of its proper divisors (2375400339).

2523412125 is a wasteful number, since it uses less digits than its factorization.

2523412125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172575 (or 172562 counting only the distinct ones).

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

The square root of 2523412125 is about 50233.5756740449. The cubic root of 2523412125 is about 1361.4323370057.

Adding to 2523412125 its reverse (5212143252), we get a palindrome (7735555377).

The spelling of 2523412125 in words is "two billion, five hundred twenty-three million, four hundred twelve thousand, one hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 125 195 225 325 375 585 975 1125 1625 2925 4875 14625 172541 517623 862705 1552869 2243033 2588115 4313525 6729099 7764345 11215165 12940575 20187297 21567625 33645495 38821725 56075825 64702875 100936485 168227475 194108625 280379125 504682425 841137375 2523412125