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1057156601 is a prime number
BaseRepresentation
bin111111000000101…
…110110111111001
32201200020010020012
4333000232313321
54131113002401
6252522311305
735124453134
oct7700566771
92650203205
101057156601
114a2812446
12256058535
1313b02cb67
14a058921b
1562c218bb
hex3f02edf9

1057156601 has 2 divisors, whose sum is σ = 1057156602. Its totient is φ = 1057156600.

The previous prime is 1057156579. The next prime is 1057156627. The reversal of 1057156601 is 1066517501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 553378576 + 503778025 = 23524^2 + 22445^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057156601 - 210 = 1057155577 is a prime.

It is a super-2 number, since 2×10571566012 = 2235160158075746402, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1057156651) 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, 528578300 + 528578301.

It is an arithmetic number, because the mean of its divisors is an integer number (528578301).

Almost surely, 21057156601 is an apocalyptic number.

It is an amenable number.

1057156601 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057156601 is an equidigital number, since it uses as much as digits as its factorization.

1057156601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6300, while the sum is 32.

The square root of 1057156601 is about 32513.9447160753. The cubic root of 1057156601 is about 1018.7003185729.

The spelling of 1057156601 in words is "one billion, fifty-seven million, one hundred fifty-six thousand, six hundred one".