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1057616629 is a prime number
BaseRepresentation
bin111111000010011…
…111001011110101
32201201002111021021
4333002133023311
54131222213004
6252540221141
735131410256
oct7702371365
92651074237
101057616629
114a2aa7033
1225623a7b1
1313b161374
14a0668b2d
1562cb2d54
hex3f09f2f5

1057616629 has 2 divisors, whose sum is σ = 1057616630. Its totient is φ = 1057616628.

The previous prime is 1057616501. The next prime is 1057616633. The reversal of 1057616629 is 9266167501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 853983729 + 203632900 = 29223^2 + 14270^2 .

It is an emirp because it is prime and its reverse (9266167501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1057616629 - 27 = 1057616501 is a prime.

It is a super-2 number, since 2×10576166292 = 2237105867874647282, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057617629) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528808314 + 528808315.

It is an arithmetic number, because the mean of its divisors is an integer number (528808315).

Almost surely, 21057616629 is an apocalyptic number.

It is an amenable number.

1057616629 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057616629 is an equidigital number, since it uses as much as digits as its factorization.

1057616629 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 136080, while the sum is 43.

The square root of 1057616629 is about 32521.0182651159. The cubic root of 1057616629 is about 1018.8480616510.

The spelling of 1057616629 in words is "one billion, fifty-seven million, six hundred sixteen thousand, six hundred twenty-nine".