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57000004993 is a prime number
BaseRepresentation
bin110101000101011101…
…110000110110000001
312110010102120021021001
4311011131300312001
51413214000124433
642104015532001
74055341022401
oct650535606601
9173112507231
1057000004993
11221a0020448
12b06922a001
1354b5078009
142a8a28c801
1517391b057d
hexd45770d81

57000004993 has 2 divisors, whose sum is σ = 57000004994. Its totient is φ = 57000004992.

The previous prime is 57000004969. The next prime is 57000005017. The reversal of 57000004993 is 39940000075.

It is a balanced prime because it is at equal distance from previous prime (57000004969) and next prime (57000005017).

It can be written as a sum of positive squares in only one way, i.e., 42192035649 + 14807969344 = 205407^2 + 121688^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57000004993 is a prime.

It is not a weakly prime, because it can be changed into another prime (57000004493) 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 as a sum of consecutive naturals, namely, 28500002496 + 28500002497.

It is an arithmetic number, because the mean of its divisors is an integer number (28500002497).

Almost surely, 257000004993 is an apocalyptic number.

It is an amenable number.

57000004993 is a deficient number, since it is larger than the sum of its proper divisors (1).

57000004993 is an equidigital number, since it uses as much as digits as its factorization.

57000004993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 34020, while the sum is 37.

The spelling of 57000004993 in words is "fifty-seven billion, four thousand, nine hundred ninety-three".