Search a number
-
+
1057678901 is a prime number
BaseRepresentation
bin111111000010101…
…110011000110101
32201201012122200122
4333002232120311
54131231211101
6252541421325
735132056646
oct7702563065
92651178618
101057678901
114a30398a4
1225626a845
1313b183806
14a06836cd
1562cc651b
hex3f0ae635

1057678901 has 2 divisors, whose sum is σ = 1057678902. Its totient is φ = 1057678900.

The previous prime is 1057678889. The next prime is 1057678931. The reversal of 1057678901 is 1098767501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 909082801 + 148596100 = 30151^2 + 12190^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057678901 - 26 = 1057678837 is a prime.

It is a super-2 number, since 2×10576789012 = 2237369315241135602, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057678931) 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, 528839450 + 528839451.

It is an arithmetic number, because the mean of its divisors is an integer number (528839451).

Almost surely, 21057678901 is an apocalyptic number.

It is an amenable number.

1057678901 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057678901 is an equidigital number, since it uses as much as digits as its factorization.

1057678901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 105840, while the sum is 44.

The square root of 1057678901 is about 32521.9756626193. The cubic root of 1057678901 is about 1018.8680576998.

The spelling of 1057678901 in words is "one billion, fifty-seven million, six hundred seventy-eight thousand, nine hundred one".