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1052653563 = 3413999671
BaseRepresentation
bin111110101111100…
…011011111111011
32201100202100020000
4332233203133323
54123434403223
6252242004043
735041256553
oct7657433773
92640670200
101052653563
114a0217225
12254646623
1313a114340
149db36163
1562632543
hex3ebe37fb

1052653563 has 20 divisors (see below), whose sum is σ = 1693444368. Its totient is φ = 647786160.

The previous prime is 1052653541. The next prime is 1052653699. The reversal of 1052653563 is 3653562501.

1052653563 is a `hidden beast` number, since 10 + 52 + 6 + 535 + 63 = 666.

It is not a de Polignac number, because 1052653563 - 25 = 1052653531 is a prime.

It is a super-4 number, since 4×10526535634 (a number of 37 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (1052653963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 498783 + ... + 500888.

Almost surely, 21052653563 is an apocalyptic number.

1052653563 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1052653563 is a deficient number, since it is larger than the sum of its proper divisors (640790805).

1052653563 is an equidigital number, since it uses as much as digits as its factorization.

1052653563 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 999696 (or 999687 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

The square root of 1052653563 is about 32444.6230213883. The cubic root of 1052653563 is about 1017.2518498099.

The spelling of 1052653563 in words is "one billion, fifty-two million, six hundred fifty-three thousand, five hundred sixty-three".

Divisors: 1 3 9 13 27 39 81 117 351 1053 999671 2999013 8997039 12995723 26991117 38987169 80973351 116961507 350884521 1052653563