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1053357757533 = 332312971307809
BaseRepresentation
bin11110101010000010000…
…00111101010001011101
310201200220022110100112000
433111001000331101131
5114224234041220113
62123523400232513
7136050121131234
oct17250100752135
93650808410460
101053357757533
113767a9aa1974
1215019346b739
137843c890c33
1438da8aa9b1b
151c600cbc373
hexf54103d45d

1053357757533 has 32 divisors (see below), whose sum is σ = 1629635884800. Its totient is φ = 671187990528.

The previous prime is 1053357757511. The next prime is 1053357757549. The reversal of 1053357757533 is 3357577533501.

1053357757533 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 3 + 57 + 7 + 57 + 533 = 666.

It is a de Polignac number, because none of the positive numbers 2k-1053357757533 is a prime.

It is a super-2 number, since 2×10533577575332 (a number of 25 digits) contains 22 as substring.

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 1053357757533.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053357757583) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 151533 + ... + 1459341.

It is an arithmetic number, because the mean of its divisors is an integer number (50926121400).

Almost surely, 21053357757533 is an apocalyptic number.

It is an amenable number.

1053357757533 is a deficient number, since it is larger than the sum of its proper divisors (576278127267).

1053357757533 is a wasteful number, since it uses less digits than its factorization.

1053357757533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309138 (or 1309132 counting only the distinct ones).

The product of its (nonzero) digits is 17364375, while the sum is 54.

The spelling of 1053357757533 in words is "one trillion, fifty-three billion, three hundred fifty-seven million, seven hundred fifty-seven thousand, five hundred thirty-three".

Divisors: 1 3 9 23 27 69 207 621 1297 3891 11673 29831 35019 89493 268479 805437 1307809 3923427 11770281 30079607 35310843 90238821 270716463 812149389 1696228273 5088684819 15266054457 39013250279 45798163371 117039750837 351119252511 1053357757533