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1054818013 is a prime number
BaseRepresentation
bin111110110111110…
…011111011011101
32201111211022021211
4332313303323131
54130013134023
6252400224421
735065543114
oct7667637335
92644738254
101054818013
114a1465427
1225530b111
1313a6c1592
14a013ac7b
156290da0d
hex3edf3edd

1054818013 has 2 divisors, whose sum is σ = 1054818014. Its totient is φ = 1054818012.

The previous prime is 1054818001. The next prime is 1054818047. The reversal of 1054818013 is 3108184501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 972317124 + 82500889 = 31182^2 + 9083^2 .

It is an emirp because it is prime and its reverse (3108184501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1054818013 - 221 = 1052720861 is a prime.

It is a super-2 number, since 2×10548180132 = 2225282081098536338, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1054818053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 527409006 + 527409007.

It is an arithmetic number, because the mean of its divisors is an integer number (527409007).

Almost surely, 21054818013 is an apocalyptic number.

It is an amenable number.

1054818013 is a deficient number, since it is larger than the sum of its proper divisors (1).

1054818013 is an equidigital number, since it uses as much as digits as its factorization.

1054818013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3840, while the sum is 31.

The square root of 1054818013 is about 32477.9619588422. The cubic root of 1054818013 is about 1017.9485916660.

It can be divided in two parts, 10548 and 18013, that added together give a 4-th power (28561 = 134).

The spelling of 1054818013 in words is "one billion, fifty-four million, eight hundred eighteen thousand, thirteen".