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58133577377 is a prime number
BaseRepresentation
bin110110001001000001…
…111111111010100001
312120001102120201020102
4312021001333322201
51423024143434002
642412312152145
74125414153221
oct661101777241
9176042521212
1058133577377
1122721986127
12b324998655
135635b819c5
142b56a4a081
1517a3978a02
hexd8907fea1

58133577377 has 2 divisors, whose sum is σ = 58133577378. Its totient is φ = 58133577376.

The previous prime is 58133577353. The next prime is 58133577433. The reversal of 58133577377 is 77377533185.

It is a happy number.

It is an a-pointer prime, because the next prime (58133577433) can be obtained adding 58133577377 to its sum of digits (56).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 51603482896 + 6530094481 = 227164^2 + 80809^2 .

It is a cyclic number.

It is not a de Polignac number, because 58133577377 - 222 = 58129383073 is a prime.

It is not a weakly prime, because it can be changed into another prime (58133577317) 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, 29066788688 + 29066788689.

It is an arithmetic number, because the mean of its divisors is an integer number (29066788689).

Almost surely, 258133577377 is an apocalyptic number.

It is an amenable number.

58133577377 is a deficient number, since it is larger than the sum of its proper divisors (1).

58133577377 is an equidigital number, since it uses as much as digits as its factorization.

58133577377 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12965400, while the sum is 56.

The spelling of 58133577377 in words is "fifty-eight billion, one hundred thirty-three million, five hundred seventy-seven thousand, three hundred seventy-seven".