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12553541 = 7111312541
BaseRepresentation
bin101111111000…
…110101000101
3212121210012222
4233320311011
511203203131
61125022125
7211463150
oct57706505
925553188
1012553541
1170a4730
124254945
1327a6c40
14194ac97
15117e87b
hexbf8d45

12553541 has 16 divisors (see below), whose sum is σ = 16856448. Its totient is φ = 9028800.

The previous prime is 12553529. The next prime is 12553553. The reversal of 12553541 is 14535521.

It is an interprime number because it is at equal distance from previous prime (12553529) and next prime (12553553).

It is not a de Polignac number, because 12553541 - 26 = 12553477 is a prime.

It is a Smith number, since the sum of its digits (26) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 12553541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12553511) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5270 + ... + 7271.

It is an arithmetic number, because the mean of its divisors is an integer number (1053528).

Almost surely, 212553541 is an apocalyptic number.

12553541 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

12553541 is a deficient number, since it is larger than the sum of its proper divisors (4302907).

12553541 is a wasteful number, since it uses less digits than its factorization.

12553541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12572.

The product of its digits is 3000, while the sum is 26.

The square root of 12553541 is about 3543.0976560067. The cubic root of 12553541 is about 232.4103234532.

The spelling of 12553541 in words is "twelve million, five hundred fifty-three thousand, five hundred forty-one".

Divisors: 1 7 11 13 77 91 143 1001 12541 87787 137951 163033 965657 1141231 1793363 12553541