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1053001517 is a prime number
BaseRepresentation
bin111110110000111…
…000011100101101
32201101102000112012
4332300320130231
54124032022032
6252253251005
735044236161
oct7660703455
92641360465
101053001517
114a0434697
12254793a65
1313a206829
149dbc6ca1
15626a06b2
hex3ec3872d

1053001517 has 2 divisors, whose sum is σ = 1053001518. Its totient is φ = 1053001516.

The previous prime is 1053001441. The next prime is 1053001519. The reversal of 1053001517 is 7151003501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 910772041 + 142229476 = 30179^2 + 11926^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1053001517 is a prime.

It is a super-2 number, since 2×10530015172 = 2217624389608602578, which contains 22 as substring.

Together with 1053001519, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 1053001492 and 1053001501.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (1053001519) 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, 526500758 + 526500759.

It is an arithmetic number, because the mean of its divisors is an integer number (526500759).

Almost surely, 21053001517 is an apocalyptic number.

It is an amenable number.

1053001517 is a deficient number, since it is larger than the sum of its proper divisors (1).

1053001517 is an equidigital number, since it uses as much as digits as its factorization.

1053001517 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 525, while the sum is 23.

The square root of 1053001517 is about 32449.9848536174. The cubic root of 1053001517 is about 1017.3639214575.

The spelling of 1053001517 in words is "one billion, fifty-three million, one thousand, five hundred seventeen".