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1057257153 = 321512832749
BaseRepresentation
bin111111000001000…
…111011011000001
32201200102020011100
4333001013123001
54131124212103
6252524405013
735125352241
oct7701073301
92650366140
101057257153
114a2880a47
122560a6769
1313b066864
14a05b3b21
1562c415a3
hex3f0476c1

1057257153 has 24 divisors (see below), whose sum is σ = 1543256000. Its totient is φ = 697442400.

The previous prime is 1057257083. The next prime is 1057257181. The reversal of 1057257153 is 3517527501.

It is a happy number.

1057257153 is a `hidden beast` number, since 10 + 5 + 72 + 571 + 5 + 3 = 666.

1057257153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1057257153 - 213 = 1057248961 is a prime.

It is a super-2 number, since 2×10572571532 = 2235585375139330818, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1057257053) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383223 + ... + 385971.

Almost surely, 21057257153 is an apocalyptic number.

It is an amenable number.

1057257153 is a deficient number, since it is larger than the sum of its proper divisors (485998847).

1057257153 is a wasteful number, since it uses less digits than its factorization.

1057257153 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3189 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 36750, while the sum is 36.

The square root of 1057257153 is about 32515.4909696901. The cubic root of 1057257153 is about 1018.7326156191.

The spelling of 1057257153 in words is "one billion, fifty-seven million, two hundred fifty-seven thousand, one hundred fifty-three".

Divisors: 1 3 9 151 283 453 849 1359 2547 2749 8247 24741 42733 128199 384597 415099 777967 1245297 2333901 3735891 7001703 117473017 352419051 1057257153