Search a number
-
+
75011011057 is a prime number
BaseRepresentation
bin100010111011100000…
…0010011000111110001
321011121122110011202201
41011313000103013301
52212110304323212
654243134143201
75263562034223
oct1056700230761
9234548404681
1075011011057
11298a283a924
1212655051b01
1370c5660058
1438b8342413
151e404deb57
hex11770131f1

75011011057 has 2 divisors, whose sum is σ = 75011011058. Its totient is φ = 75011011056.

The previous prime is 75011011039. The next prime is 75011011063.

75011011057 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 45794288016 + 29216723041 = 213996^2 + 170929^2 .

It is a palprime.

It is a cyclic number.

It is not a de Polignac number, because 75011011057 - 235 = 40651272689 is a prime.

It is not a weakly prime, because it can be changed into another prime (75011011037) 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, 37505505528 + 37505505529.

It is an arithmetic number, because the mean of its divisors is an integer number (37505505529).

Almost surely, 275011011057 is an apocalyptic number.

It is an amenable number.

75011011057 is a deficient number, since it is larger than the sum of its proper divisors (1).

75011011057 is an equidigital number, since it uses as much as digits as its factorization.

75011011057 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1225, while the sum is 28.

It can be divided in two parts, 750110 and 11057, that added together give a palindrome (761167).

The spelling of 75011011057 in words is "seventy-five billion, eleven million, eleven thousand, fifty-seven".