Search a number
-
+
1057276153 is a prime number
BaseRepresentation
bin111111000001001…
…100000011111001
32201200110012020001
4333001030003321
54131130314103
6252525033001
735125461523
oct7701140371
92650405201
101057276153
114a289424a
122560b5761
1313b0723bb
14a05baa13
1562c4701d
hex3f04c0f9

1057276153 has 2 divisors, whose sum is σ = 1057276154. Its totient is φ = 1057276152.

The previous prime is 1057276091. The next prime is 1057276159. The reversal of 1057276153 is 3516727501.

1057276153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 972691344 + 84584809 = 31188^2 + 9197^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1057276153 is a prime.

It is a super-2 number, since 2×10572761532 = 2235665727404958818, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1057276159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528638076 + 528638077.

It is an arithmetic number, because the mean of its divisors is an integer number (528638077).

Almost surely, 21057276153 is an apocalyptic number.

It is an amenable number.

1057276153 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057276153 is an equidigital number, since it uses as much as digits as its factorization.

1057276153 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 44100, while the sum is 37.

The square root of 1057276153 is about 32515.7831368091. The cubic root of 1057276153 is about 1018.7387181407.

The spelling of 1057276153 in words is "one billion, fifty-seven million, two hundred seventy-six thousand, one hundred fifty-three".