Search a number
-
+
258138667537 is a prime number
BaseRepresentation
bin1111000001101001000…
…0110111101000010001
3220200022010110000010021
43300122100313220101
513212131444330122
6314330503303441
724435626320312
oct3603220675021
9820263400107
10258138667537
119a526603673
124204214ab81
131b45b2639ba
14c6cb694609
156aac5a61c7
hex3c1a437a11

258138667537 has 2 divisors, whose sum is σ = 258138667538. Its totient is φ = 258138667536.

The previous prime is 258138667489. The next prime is 258138667621. The reversal of 258138667537 is 735766831852.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 254339671041 + 3798996496 = 504321^2 + 61636^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-258138667537 is a prime.

It is not a weakly prime, because it can be changed into another prime (258138667637) 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, 129069333768 + 129069333769.

It is an arithmetic number, because the mean of its divisors is an integer number (129069333769).

Almost surely, 2258138667537 is an apocalyptic number.

It is an amenable number.

258138667537 is a deficient number, since it is larger than the sum of its proper divisors (1).

258138667537 is an equidigital number, since it uses as much as digits as its factorization.

258138667537 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 50803200, while the sum is 61.

The spelling of 258138667537 in words is "two hundred fifty-eight billion, one hundred thirty-eight million, six hundred sixty-seven thousand, five hundred thirty-seven".