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1953013813 is a prime number
BaseRepresentation
bin111010001101000…
…1010000000110101
312001002221101021221
41310122022000311
512444432420223
6521443510341
766253225552
oct16432120065
95032841257
101953013813
11912475203
124660883b1
1325180599a
14147547a29
15b66d0b5d
hex7468a035

1953013813 has 2 divisors, whose sum is σ = 1953013814. Its totient is φ = 1953013812.

The previous prime is 1953013663. The next prime is 1953013817. The reversal of 1953013813 is 3183103591.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1927034404 + 25979409 = 43898^2 + 5097^2 .

It is a cyclic number.

It is not a de Polignac number, because 1953013813 - 29 = 1953013301 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1953013817) 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, 976506906 + 976506907.

It is an arithmetic number, because the mean of its divisors is an integer number (976506907).

Almost surely, 21953013813 is an apocalyptic number.

It is an amenable number.

1953013813 is a deficient number, since it is larger than the sum of its proper divisors (1).

1953013813 is an equidigital number, since it uses as much as digits as its factorization.

1953013813 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 34.

The square root of 1953013813 is about 44192.9158689490. The cubic root of 1953013813 is about 1249.9762796565.

The spelling of 1953013813 in words is "one billion, nine hundred fifty-three million, thirteen thousand, eight hundred thirteen".