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1057356825 = 35272014013
BaseRepresentation
bin111111000001011…
…111110000011001
32201200121021212220
4333001133300121
54131140404300
6252530454253
735126245650
oct7701376031
92650537786
101057356825
114a2939918
12256134389
1313b0a0035
14a05dc197
1562c60da0
hex3f05fc19

1057356825 has 24 divisors (see below), whose sum is σ = 1997901888. Its totient is φ = 483362880.

The previous prime is 1057356809. The next prime is 1057356829. The reversal of 1057356825 is 5286537501.

It is not a de Polignac number, because 1057356825 - 24 = 1057356809 is a prime.

It is a super-2 number, since 2×10573568252 = 2236006910748161250, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1057356829) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1006482 + ... + 1007531.

It is an arithmetic number, because the mean of its divisors is an integer number (83245912).

Almost surely, 21057356825 is an apocalyptic number.

1057356825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1057356825 is a deficient number, since it is larger than the sum of its proper divisors (940545063).

1057356825 is a wasteful number, since it uses less digits than its factorization.

1057356825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2014033 (or 2014028 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 42.

The square root of 1057356825 is about 32517.0236184064. The cubic root of 1057356825 is about 1018.7646279907.

The spelling of 1057356825 in words is "one billion, fifty-seven million, three hundred fifty-six thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 525 2014013 6042039 10070065 14098091 30210195 42294273 50350325 70490455 151050975 211471365 352452275 1057356825