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1312395529 = 17221312
BaseRepresentation
bin100111000111001…
…1001000100001001
310101110111121012211
41032032121010021
510141433124104
6334121105121
744344115014
oct11616310411
93343447184
101312395529
116138a4205
123076281a1
1317bb88003
14c642a37b
157a33ce04
hex4e399109

1312395529 has 9 divisors (see below), whose sum is σ = 1394790951. Its totient is φ = 1234616160.

The previous prime is 1312395503. The next prime is 1312395583. The reversal of 1312395529 is 9255932131.

The square root of 1312395529 is 36227.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1021761225 + 290634304 = 31965^2 + 17048^2 .

It is not a de Polignac number, because 1312395529 - 27 = 1312395401 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1312395491 and 1312395500.

It is not an unprimeable number, because it can be changed into a prime (1312395829) 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 8 ways as a sum of consecutive naturals, for example, 614794 + ... + 616924.

Almost surely, 21312395529 is an apocalyptic number.

1312395529 is the 36227-th square number.

1312395529 is the 18114-th centered octagonal number.

It is an amenable number.

1312395529 is a deficient number, since it is larger than the sum of its proper divisors (82395422).

1312395529 is an frugal number, since it uses more digits than its factorization.

1312395529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4296 (or 2148 counting only the distinct ones).

The product of its digits is 72900, while the sum is 40.

The cubic root of 1312395529 is about 1094.8507345031.

Multiplying 1312395529 by its product of digits (72900), we get a square (95673634064100 = 97812902).

The spelling of 1312395529 in words is "one billion, three hundred twelve million, three hundred ninety-five thousand, five hundred twenty-nine".

Divisors: 1 17 289 2131 36227 615859 4541161 77199737 1312395529