Search a number
-
+
1057756649 is a prime number
BaseRepresentation
bin111111000011000…
…001010111101001
32201201100121100012
4333003001113221
54131241203044
6252543221305
735132532425
oct7703012751
92651317305
101057756649
114a3092254
122562a7835
1313b1b0011
14a06a3b85
1562cde59e
hex3f0c15e9

1057756649 has 2 divisors, whose sum is σ = 1057756650. Its totient is φ = 1057756648.

The previous prime is 1057756627. The next prime is 1057756681. The reversal of 1057756649 is 9466577501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 561358249 + 496398400 = 23693^2 + 22280^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057756649 - 216 = 1057691113 is a prime.

It is a super-2 number, since 2×10577566492 = 2237698257007418402, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1057756597 and 1057756606.

It is not a weakly prime, because it can be changed into another prime (1057750649) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528878324 + 528878325.

It is an arithmetic number, because the mean of its divisors is an integer number (528878325).

Almost surely, 21057756649 is an apocalyptic number.

It is an amenable number.

1057756649 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057756649 is an equidigital number, since it uses as much as digits as its factorization.

1057756649 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1587600, while the sum is 50.

The square root of 1057756649 is about 32523.1709554896. The cubic root of 1057756649 is about 1018.8930221173.

The spelling of 1057756649 in words is "one billion, fifty-seven million, seven hundred fifty-six thousand, six hundred forty-nine".