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524001406129 is a prime number
BaseRepresentation
bin1111010000000001110…
…10101110110010110001
31212002112120002110210021
413220000322232302301
532041123324444004
61040420052403441
752600146314335
oct7500072566261
91762476073707
10524001406129
11192256151133
128567b016581
133a54a81a136
141b50cb077c5
15d96cd00d54
hex7a00eaecb1

524001406129 has 2 divisors, whose sum is σ = 524001406130. Its totient is φ = 524001406128.

The previous prime is 524001406109. The next prime is 524001406147. The reversal of 524001406129 is 921604100425.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 409794583104 + 114206823025 = 640152^2 + 337945^2 .

It is a cyclic number.

It is not a de Polignac number, because 524001406129 - 29 = 524001405617 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 524001406094 and 524001406103.

It is not a weakly prime, because it can be changed into another prime (524001406109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 262000703064 + 262000703065.

It is an arithmetic number, because the mean of its divisors is an integer number (262000703065).

Almost surely, 2524001406129 is an apocalyptic number.

It is an amenable number.

524001406129 is a deficient number, since it is larger than the sum of its proper divisors (1).

524001406129 is an equidigital number, since it uses as much as digits as its factorization.

524001406129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17280, while the sum is 34.

The spelling of 524001406129 in words is "five hundred twenty-four billion, one million, four hundred six thousand, one hundred twenty-nine".