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1057985281 = 6131754713
BaseRepresentation
bin111111000011111…
…001001100000001
32201201210012222001
4333003321030001
54131321012111
6252552144001
735134504123
oct7703711401
92651705861
101057985281
114a3229001
12256398001
1313b2600c2
14a0723213
1562d371c1
hex3f0f9301

1057985281 has 8 divisors (see below), whose sum is σ = 1078741224. Its totient is φ = 1037339520.

The previous prime is 1057985261. The next prime is 1057985309. The reversal of 1057985281 is 1825897501.

1057985281 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 72590400 + 985394881 = 8520^2 + 31391^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 1057985281 - 29 = 1057984769 is a prime.

It is a super-2 number, since 2×10579852812 = 2238665709625297922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1057985261) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8020 + ... + 46693.

It is an arithmetic number, because the mean of its divisors is an integer number (134842653).

Almost surely, 21057985281 is an apocalyptic number.

It is an amenable number.

1057985281 is a deficient number, since it is larger than the sum of its proper divisors (20755943).

1057985281 is an equidigital number, since it uses as much as digits as its factorization.

1057985281 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55091.

The product of its (nonzero) digits is 201600, while the sum is 46.

The square root of 1057985281 is about 32526.6856749962. The cubic root of 1057985281 is about 1018.9664273968.

The spelling of 1057985281 in words is "one billion, fifty-seven million, nine hundred eighty-five thousand, two hundred eighty-one".

Divisors: 1 61 317 19337 54713 3337493 17344021 1057985281