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1057638853 is a prime number
BaseRepresentation
bin111111000010100…
…100100111000101
32201201010121202101
4333002210213011
54131223420403
6252540512101
735131532125
oct7702444705
92651117671
101057638853
114a30117a7
1225624b631
1313b16b50b
14a0672c85
1562cb971d
hex3f0a49c5

1057638853 has 2 divisors, whose sum is σ = 1057638854. Its totient is φ = 1057638852.

The previous prime is 1057638847. The next prime is 1057638859. The reversal of 1057638853 is 3588367501.

1057638853 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (1057638847) and next prime (1057638859).

It can be written as a sum of positive squares in only one way, i.e., 536292964 + 521345889 = 23158^2 + 22833^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057638853 - 29 = 1057638341 is a prime.

It is a super-2 number, since 2×10576388532 = 2237199886750311218, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057638859) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528819426 + 528819427.

It is an arithmetic number, because the mean of its divisors is an integer number (528819427).

Almost surely, 21057638853 is an apocalyptic number.

It is an amenable number.

1057638853 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057638853 is an equidigital number, since it uses as much as digits as its factorization.

1057638853 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 604800, while the sum is 46.

The square root of 1057638853 is about 32521.3599500390. The cubic root of 1057638853 is about 1018.8551980493.

The spelling of 1057638853 in words is "one billion, fifty-seven million, six hundred thirty-eight thousand, eight hundred fifty-three".