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1057626131 is a prime number
BaseRepresentation
bin111111000010100…
…001100000010011
32201201002222022012
4333002201200103
54131223014011
6252540333135
735131450052
oct7702414023
92651088265
101057626131
114a3003191
122562441ab
1313b1657a3
14a066c399
1562cb5a8b
hex3f0a1813

1057626131 has 2 divisors, whose sum is σ = 1057626132. Its totient is φ = 1057626130.

The previous prime is 1057626121. The next prime is 1057626133. The reversal of 1057626131 is 1316267501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 1057626131 - 26 = 1057626067 is a prime.

It is a super-2 number, since 2×10576261312 = 2237146065948058322, which contains 22 as substring.

Together with 1057626133, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (1057626133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 528813065 + 528813066.

It is an arithmetic number, because the mean of its divisors is an integer number (528813066).

Almost surely, 21057626131 is an apocalyptic number.

1057626131 is a deficient number, since it is larger than the sum of its proper divisors (1).

1057626131 is an equidigital number, since it uses as much as digits as its factorization.

1057626131 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 7560, while the sum is 32.

The square root of 1057626131 is about 32521.1643549243. The cubic root of 1057626131 is about 1018.8511128717.

The spelling of 1057626131 in words is "one billion, fifty-seven million, six hundred twenty-six thousand, one hundred thirty-one".