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1252153513 = 13175665853
BaseRepresentation
bin100101010100010…
…0101100010101001
310020021010222201001
41022220211202221
510031022403023
6324125555001
743013062222
oct11250454251
93207128631
101252153513
11592898516
122ab415a61
1316c554b50
14bc428249
1574ddd6ad
hex4aa258a9

1252153513 has 8 divisors (see below), whose sum is σ = 1427795208. Its totient is φ = 1087843584.

The previous prime is 1252153477. The next prime is 1252153541. The reversal of 1252153513 is 3153512521.

It can be written as a sum of positive squares in 4 ways, for example, as 236329129 + 1015824384 = 15373^2 + 31872^2 .

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 1252153513 - 221 = 1250056361 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1252153583) 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 in 7 ways as a sum of consecutive naturals, for example, 2832706 + ... + 2833147.

It is an arithmetic number, because the mean of its divisors is an integer number (178474401).

Almost surely, 21252153513 is an apocalyptic number.

1252153513 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1252153513 is a deficient number, since it is larger than the sum of its proper divisors (175641695).

1252153513 is a wasteful number, since it uses less digits than its factorization.

1252153513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5665883.

The product of its digits is 4500, while the sum is 28.

The square root of 1252153513 is about 35385.7812263627. The cubic root of 1252153513 is about 1077.8356038525.

The spelling of 1252153513 in words is "one billion, two hundred fifty-two million, one hundred fifty-three thousand, five hundred thirteen".

Divisors: 1 13 17 221 5665853 73656089 96319501 1252153513