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1057074761 is a prime number
BaseRepresentation
bin111111000000011…
…010111001001001
32201200001221222002
4333000122321021
54131102343021
6252520440345
735123662421
oct7700327111
92650057862
101057074761
114a2766a06
122560190b5
1313b001832
14a0567481
1562c0750b
hex3f01ae49

1057074761 has 2 divisors, whose sum is σ = 1057074762. Its totient is φ = 1057074760.

The previous prime is 1057074731. The next prime is 1057074769. The reversal of 1057074761 is 1674707501.

It is a happy number.

1057074761 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., 1050084025 + 6990736 = 32405^2 + 2644^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1057074761 is a prime.

It is a super-2 number, since 2×10570747612 = 2234814100686414242, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (1057074769) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528537380 + 528537381.

It is an arithmetic number, because the mean of its divisors is an integer number (528537381).

Almost surely, 21057074761 is an apocalyptic number.

It is an amenable number.

1057074761 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057074761 is an equidigital number, since it uses as much as digits as its factorization.

1057074761 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 41160, while the sum is 38.

The square root of 1057074761 is about 32512.6861547919. The cubic root of 1057074761 is about 1018.6740302615.

The spelling of 1057074761 in words is "one billion, fifty-seven million, seventy-four thousand, seven hundred sixty-one".