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1052717813 = 72157136841
BaseRepresentation
bin111110101111110…
…011001011110101
32201100212121100122
4332233303023311
54123443432223
6252243221325
735041645100
oct7657631365
92640777318
101052717813
114a0260524
12254677845
1313a137664
149db51737
15626465c8
hex3ebf32f5

1052717813 has 12 divisors (see below), whose sum is σ = 1232399052. Its totient is φ = 896575680.

The previous prime is 1052717759. The next prime is 1052717837. The reversal of 1052717813 is 3187172501.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 527483089 + 525234724 = 22967^2 + 22918^2 .

It is not a de Polignac number, because 1052717813 - 28 = 1052717557 is a prime.

It is a super-2 number, since 2×10527178132 = 2216429587615005938, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052737813) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60728 + ... + 76113.

It is an arithmetic number, because the mean of its divisors is an integer number (102699921).

Almost surely, 21052717813 is an apocalyptic number.

It is an amenable number.

1052717813 is a deficient number, since it is larger than the sum of its proper divisors (179681239).

1052717813 is a wasteful number, since it uses less digits than its factorization.

1052717813 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137012 (or 137005 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 35.

The square root of 1052717813 is about 32445.6131549398. The cubic root of 1052717813 is about 1017.2725457932.

The spelling of 1052717813 in words is "one billion, fifty-two million, seven hundred seventeen thousand, eight hundred thirteen".

Divisors: 1 7 49 157 1099 7693 136841 957887 6705209 21484037 150388259 1052717813