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1057113377 is a prime number
BaseRepresentation
bin111111000000100…
…100010100100001
32201200010220221022
4333000210110201
54131110112002
6252521335225
735124213125
oct7700442441
92650126838
101057113377
114a2792a21
12256037515
1313b016298
14a0577585
1562c13ba2
hex3f024521

1057113377 has 2 divisors, whose sum is σ = 1057113378. Its totient is φ = 1057113376.

The previous prime is 1057113341. The next prime is 1057113451. The reversal of 1057113377 is 7733117501.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 542004961 + 515108416 = 23281^2 + 22696^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057113377 - 28 = 1057113121 is a prime.

It is a super-2 number, since 2×10571133772 = 2234977383664688258, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1057113877) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528556688 + 528556689.

It is an arithmetic number, because the mean of its divisors is an integer number (528556689).

Almost surely, 21057113377 is an apocalyptic number.

It is an amenable number.

1057113377 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057113377 is an equidigital number, since it uses as much as digits as its factorization.

1057113377 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15435, while the sum is 35.

The square root of 1057113377 is about 32513.2800098667. The cubic root of 1057113377 is about 1018.6864345048.

The spelling of 1057113377 in words is "one billion, fifty-seven million, one hundred thirteen thousand, three hundred seventy-seven".