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23258374253 is a prime number
BaseRepresentation
bin10101101010010011…
…101010000001101101
32020000220201211102122
4111222103222001231
5340113120434003
614403523402325
71452235630202
oct255223520155
966026654378
1023258374253
119955822904
1246112233a5
13226877443a
1411a8d47ca9
15911d4a238
hex56a4ea06d

23258374253 has 2 divisors, whose sum is σ = 23258374254. Its totient is φ = 23258374252.

The previous prime is 23258374231. The next prime is 23258374267. The reversal of 23258374253 is 35247385232.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21328265764 + 1930108489 = 146042^2 + 43933^2 .

It is a cyclic number.

It is not a de Polignac number, because 23258374253 - 218 = 23258112109 is a prime.

It is a super-3 number, since 3×232583742533 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23258374283) 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, 11629187126 + 11629187127.

It is an arithmetic number, because the mean of its divisors is an integer number (11629187127).

Almost surely, 223258374253 is an apocalyptic number.

It is an amenable number.

23258374253 is a deficient number, since it is larger than the sum of its proper divisors (1).

23258374253 is an equidigital number, since it uses as much as digits as its factorization.

23258374253 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1209600, while the sum is 44.

The spelling of 23258374253 in words is "twenty-three billion, two hundred fifty-eight million, three hundred seventy-four thousand, two hundred fifty-three".