Search a number
-
+
1057615241 is a prime number
BaseRepresentation
bin111111000010011…
…110110110001001
32201201002102100212
4333002132312021
54131222141431
6252540210505
735131403234
oct7702366611
92651072325
101057615241
114a2aa5a91
12256239a35
1313b160847
14a066841b
1562cb272b
hex3f09ed89

1057615241 has 2 divisors, whose sum is σ = 1057615242. Its totient is φ = 1057615240.

The previous prime is 1057615217. The next prime is 1057615243. The reversal of 1057615241 is 1425167501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 551545225 + 506070016 = 23485^2 + 22496^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057615241 - 222 = 1053420937 is a prime.

It is a super-2 number, since 2×10576152412 = 2237099995990976162, which contains 22 as substring.

Together with 1057615243, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1057615198 and 1057615207.

It is not a weakly prime, because it can be changed into another prime (1057615243) 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, 528807620 + 528807621.

It is an arithmetic number, because the mean of its divisors is an integer number (528807621).

Almost surely, 21057615241 is an apocalyptic number.

It is an amenable number.

1057615241 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057615241 is an equidigital number, since it uses as much as digits as its factorization.

1057615241 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8400, while the sum is 32.

The square root of 1057615241 is about 32520.9969250637. The cubic root of 1057615241 is about 1018.8476159439.

The spelling of 1057615241 in words is "one billion, fifty-seven million, six hundred fifteen thousand, two hundred forty-one".