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1007612317 is a prime number
BaseRepresentation
bin111100000011101…
…111000110011101
32121020000000020201
4330003233012131
54030422043232
6243552343501
733653364145
oct7403570635
92536000221
101007612317
11477853058
12241544b91
131309a400a
1497b6d925
155d6d6be7
hex3c0ef19d

1007612317 has 2 divisors, whose sum is σ = 1007612318. Its totient is φ = 1007612316.

The previous prime is 1007612261. The next prime is 1007612327. The reversal of 1007612317 is 7132167001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 939483801 + 68128516 = 30651^2 + 8254^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1007612317 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1007612327) 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, 503806158 + 503806159.

It is an arithmetic number, because the mean of its divisors is an integer number (503806159).

Almost surely, 21007612317 is an apocalyptic number.

It is an amenable number.

1007612317 is a deficient number, since it is larger than the sum of its proper divisors (1).

1007612317 is an equidigital number, since it uses as much as digits as its factorization.

1007612317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1764, while the sum is 28.

The square root of 1007612317 is about 31742.9097122491. The cubic root of 1007612317 is about 1002.5310274951.

Adding to 1007612317 its reverse (7132167001), we get a palindrome (8139779318).

The spelling of 1007612317 in words is "one billion, seven million, six hundred twelve thousand, three hundred seventeen".