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57461984959 is a prime number
BaseRepresentation
bin110101100001000000…
…000100111010111111
312111022121212021122011
4311201000010322333
51420140232004314
642221521432051
74102650545641
oct654100047277
9174277767564
1057461984959
1122407879875
12b177a9b627
1355599aa842
142ad1788891
151764a184c4
hexd61004ebf

57461984959 has 2 divisors, whose sum is σ = 57461984960. Its totient is φ = 57461984958.

The previous prime is 57461984941. The next prime is 57461984969. The reversal of 57461984959 is 95948916475.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-57461984959 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 57461984894 and 57461984903.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (57461984929) 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, 28730992479 + 28730992480.

It is an arithmetic number, because the mean of its divisors is an integer number (28730992480).

Almost surely, 257461984959 is an apocalyptic number.

57461984959 is a deficient number, since it is larger than the sum of its proper divisors (1).

57461984959 is an equidigital number, since it uses as much as digits as its factorization.

57461984959 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 97977600, while the sum is 67.

The spelling of 57461984959 in words is "fifty-seven billion, four hundred sixty-one million, nine hundred eighty-four thousand, nine hundred fifty-nine".