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1053065133 = 32313774427
BaseRepresentation
bin111110110001000…
…111111110101101
32201101112020210100
4332301013332231
54124041041013
6252254501313
735044622511
oct7661077655
92641466710
101053065133
114a047846a
12254804839
1313a229783
149dc02141
15626b4473
hex3ec47fad

1053065133 has 12 divisors (see below), whose sum is σ = 1570162048. Its totient is φ = 679396680.

The previous prime is 1053065131. The next prime is 1053065161. The reversal of 1053065133 is 3315603501.

1053065133 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 0 + 651 + 3 + 3 = 666.

It is not a de Polignac number, because 1053065133 - 21 = 1053065131 is a prime.

It is a super-3 number, since 3×10530651333 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1053065097 and 1053065106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053065131) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1886935 + ... + 1887492.

Almost surely, 21053065133 is an apocalyptic number.

It is an amenable number.

1053065133 is a deficient number, since it is larger than the sum of its proper divisors (517096915).

1053065133 is a wasteful number, since it uses less digits than its factorization.

1053065133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774464 (or 3774461 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 1053065133 is about 32450.9650549872. The cubic root of 1053065133 is about 1017.3844087087.

Adding to 1053065133 its reverse (3315603501), we get a palindrome (4368668634).

The spelling of 1053065133 in words is "one billion, fifty-three million, sixty-five thousand, one hundred thirty-three".

Divisors: 1 3 9 31 93 279 3774427 11323281 33969843 117007237 351021711 1053065133