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12637525961 is a prime number
BaseRepresentation
bin10111100010100000…
…10101011111001001
31012121201201211120002
423301100111133021
5201340201312321
65450002012345
7625112125004
oct136120253711
935551654502
1012637525961
1153a5610335
1225483470b5
13126526bb18
1487c57253b
154de70220b
hex2f14157c9

12637525961 has 2 divisors, whose sum is σ = 12637525962. Its totient is φ = 12637525960.

The previous prime is 12637525951. The next prime is 12637526023. The reversal of 12637525961 is 16952573621.

12637525961 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 7839331600 + 4798194361 = 88540^2 + 69269^2 .

It is a cyclic number.

It is not a de Polignac number, because 12637525961 - 222 = 12633331657 is a prime.

It is not a weakly prime, because it can be changed into another prime (12637525921) 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 as a sum of consecutive naturals, namely, 6318762980 + 6318762981.

It is an arithmetic number, because the mean of its divisors is an integer number (6318762981).

Almost surely, 212637525961 is an apocalyptic number.

It is an amenable number.

12637525961 is a deficient number, since it is larger than the sum of its proper divisors (1).

12637525961 is an equidigital number, since it uses as much as digits as its factorization.

12637525961 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 680400, while the sum is 47.

The spelling of 12637525961 in words is "twelve billion, six hundred thirty-seven million, five hundred twenty-five thousand, nine hundred sixty-one".