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10575673957 is a prime number
BaseRepresentation
bin10011101100101101…
…11111101001100101
31000022000222220100001
421312112333221211
5133124333031312
64505225221301
7523034513452
oct116626775145
930260886301
1010575673957
114537768412
122071931831
13cc7049854
147247b6829
1541d6c3057
hex2765bfa65

10575673957 has 2 divisors, whose sum is σ = 10575673958. Its totient is φ = 10575673956.

The previous prime is 10575673897. The next prime is 10575673967. The reversal of 10575673957 is 75937657501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10480435876 + 95238081 = 102374^2 + 9759^2 .

It is an emirp because it is prime and its reverse (75937657501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10575673957 - 215 = 10575641189 is a prime.

It is a super-2 number, since 2×105756739572 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10575673898 and 10575673907.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10575673967) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5287836978 + 5287836979.

It is an arithmetic number, because the mean of its divisors is an integer number (5287836979).

Almost surely, 210575673957 is an apocalyptic number.

It is an amenable number.

10575673957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10575673957 is an equidigital number, since it uses as much as digits as its factorization.

10575673957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6945750, while the sum is 55.

The spelling of 10575673957 in words is "ten billion, five hundred seventy-five million, six hundred seventy-three thousand, nine hundred fifty-seven".