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137049507253 is a prime number
BaseRepresentation
bin111111110100011001…
…0011000010110110101
3111002202012211022121001
41333220302120112311
54221134133213003
6142543142323301
712621133406431
oct1775062302665
9432665738531
10137049507253
115313896828a
1222689729531
13cc015227b9
1468c18319c1
153871bab61d
hex1fe8c985b5

137049507253 has 2 divisors, whose sum is σ = 137049507254. Its totient is φ = 137049507252.

The previous prime is 137049507251. The next prime is 137049507263. The reversal of 137049507253 is 352705940731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 124338748689 + 12710758564 = 352617^2 + 112742^2 .

It is a cyclic number.

It is not a de Polignac number, because 137049507253 - 21 = 137049507251 is a prime.

Together with 137049507251, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137049507251) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68524753626 + 68524753627.

It is an arithmetic number, because the mean of its divisors is an integer number (68524753627).

Almost surely, 2137049507253 is an apocalyptic number.

It is an amenable number.

137049507253 is a deficient number, since it is larger than the sum of its proper divisors (1).

137049507253 is an equidigital number, since it uses as much as digits as its factorization.

137049507253 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 793800, while the sum is 46.

The spelling of 137049507253 in words is "one hundred thirty-seven billion, forty-nine million, five hundred seven thousand, two hundred fifty-three".