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1057245661 is a prime number
BaseRepresentation
bin111111000001000…
…100100111011101
32201200101122101201
4333001010213131
54131123330121
6252524235501
735125303603
oct7701044735
92650348351
101057245661
114a287334a
1225609bb91
1313b061564
14a05ad873
1562c3ce91
hex3f0449dd

1057245661 has 2 divisors, whose sum is σ = 1057245662. Its totient is φ = 1057245660.

The previous prime is 1057245647. The next prime is 1057245667. The reversal of 1057245661 is 1665427501.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 634737636 + 422508025 = 25194^2 + 20555^2 .

It is a cyclic number.

It is not a de Polignac number, because 1057245661 - 29 = 1057245149 is a prime.

It is a super-3 number, since 3×10572456613 (a number of 28 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1057245661.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1057245667) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528622830 + 528622831.

It is an arithmetic number, because the mean of its divisors is an integer number (528622831).

Almost surely, 21057245661 is an apocalyptic number.

It is an amenable number.

1057245661 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057245661 is an equidigital number, since it uses as much as digits as its factorization.

1057245661 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 50400, while the sum is 37.

The square root of 1057245661 is about 32515.3142534406. The cubic root of 1057245661 is about 1018.7289245217.

The spelling of 1057245661 in words is "one billion, fifty-seven million, two hundred forty-five thousand, six hundred sixty-one".