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1053035513 = 4188129153
BaseRepresentation
bin111110110001000…
…000101111111001
32201101110202011022
4332301000233321
54124034114023
6252254112225
735044440245
oct7661005771
92641422138
101053035513
114a0458192
122547ab675
1313a21914a
149dbd5425
15626aa7c8
hex3ec40bf9

1053035513 has 8 divisors (see below), whose sum is σ = 1079980776. Its totient is φ = 1026150400.

The previous prime is 1053035507. The next prime is 1053035551. The reversal of 1053035513 is 3155303501.

It can be written as a sum of positive squares in 4 ways, for example, as 157051024 + 895984489 = 12532^2 + 29933^2 .

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 1053035513 - 216 = 1052969977 is a prime.

It is a super-2 number, since 2×10530355132 = 2217767583278346338, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1053035413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 21545 + ... + 50697.

It is an arithmetic number, because the mean of its divisors is an integer number (134997597).

Almost surely, 21053035513 is an apocalyptic number.

It is an amenable number.

1053035513 is a deficient number, since it is larger than the sum of its proper divisors (26945263).

1053035513 is an equidigital number, since it uses as much as digits as its factorization.

1053035513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30075.

The product of its (nonzero) digits is 3375, while the sum is 26.

The square root of 1053035513 is about 32450.5086708976. The cubic root of 1053035513 is about 1017.3748698215.

The spelling of 1053035513 in words is "one billion, fifty-three million, thirty-five thousand, five hundred thirteen".

Divisors: 1 41 881 29153 36121 1195273 25683793 1053035513