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1035997513 is a prime number
BaseRepresentation
bin111101110000000…
…001000101001001
32200012102010102021
4331300001011021
54110203410023
6250445004441
734446555625
oct7560010511
92605363367
101035997513
114918802a1
1224ab53721
13136831ca5
149b83c185
1560e4235d
hex3dc01149

1035997513 has 2 divisors, whose sum is σ = 1035997514. Its totient is φ = 1035997512.

The previous prime is 1035997511. The next prime is 1035997517. The reversal of 1035997513 is 3157995301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 548824329 + 487173184 = 23427^2 + 22072^2 .

It is a cyclic number.

It is not a de Polignac number, because 1035997513 - 21 = 1035997511 is a prime.

It is a super-3 number, since 3×10359975133 (a number of 28 digits) contains 333 as substring.

Together with 1035997511, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 1035997513.

It is not a weakly prime, because it can be changed into another prime (1035997511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 517998756 + 517998757.

It is an arithmetic number, because the mean of its divisors is an integer number (517998757).

Almost surely, 21035997513 is an apocalyptic number.

It is an amenable number.

1035997513 is a deficient number, since it is larger than the sum of its proper divisors (1).

1035997513 is an equidigital number, since it uses as much as digits as its factorization.

1035997513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 127575, while the sum is 43.

The square root of 1035997513 is about 32186.9152451738. The cubic root of 1035997513 is about 1011.8580029721.

The spelling of 1035997513 in words is "one billion, thirty-five million, nine hundred ninety-seven thousand, five hundred thirteen".