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58515260249 is a prime number
BaseRepresentation
bin110110011111110010…
…000000001101011001
312121001000210012201002
4312133302000031121
51424314401311444
642514225034345
74141030335245
oct663762001531
9177030705632
1058515260249
11228a8380116
12b4107859b5
135696c7bb64
142b91603425
1517c721ed4e
hexd9fc80359

58515260249 has 2 divisors, whose sum is σ = 58515260250. Its totient is φ = 58515260248.

The previous prime is 58515260201. The next prime is 58515260281. The reversal of 58515260249 is 94206251585.

58515260249 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 30601204624 + 27914055625 = 174932^2 + 167075^2 .

It is a cyclic number.

It is not a de Polignac number, because 58515260249 - 228 = 58246824793 is a prime.

It is a super-3 number, since 3×585152602493 (a number of 33 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (58515260149) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 29257630124 + 29257630125.

It is an arithmetic number, because the mean of its divisors is an integer number (29257630125).

Almost surely, 258515260249 is an apocalyptic number.

It is an amenable number.

58515260249 is a deficient number, since it is larger than the sum of its proper divisors (1).

58515260249 is an equidigital number, since it uses as much as digits as its factorization.

58515260249 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 864000, while the sum is 47.

The spelling of 58515260249 in words is "fifty-eight billion, five hundred fifteen million, two hundred sixty thousand, two hundred forty-nine".