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1258037041 is a prime number
BaseRepresentation
bin100101011111100…
…0001111100110001
310020200012220101111
41022333001330301
510034024141131
6324500033321
743114065322
oct11277017461
93220186344
101258037041
11596146938
122b1392841
13170834b21
14bd11a449
15756a1ab1
hex4afc1f31

1258037041 has 2 divisors, whose sum is σ = 1258037042. Its totient is φ = 1258037040.

The previous prime is 1258037029. The next prime is 1258037057. The reversal of 1258037041 is 1407308521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 858197025 + 399840016 = 29295^2 + 19996^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1258037041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1258036994 and 1258037012.

It is not a weakly prime, because it can be changed into another prime (1258037741) 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, 629018520 + 629018521.

It is an arithmetic number, because the mean of its divisors is an integer number (629018521).

Almost surely, 21258037041 is an apocalyptic number.

It is an amenable number.

1258037041 is a deficient number, since it is larger than the sum of its proper divisors (1).

1258037041 is an equidigital number, since it uses as much as digits as its factorization.

1258037041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 6720, while the sum is 31.

The square root of 1258037041 is about 35468.8178686575. The cubic root of 1258037041 is about 1079.5211185668.

The spelling of 1258037041 in words is "one billion, two hundred fifty-eight million, thirty-seven thousand, forty-one".