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137512751513 is a prime number
BaseRepresentation
bin1000000000010001100…
…1100001000110011001
3111010221111111120020212
42000010121201012121
54223111231022023
6143101131300505
712635460046664
oct2000431410631
9433844446225
10137512751513
11533563aa585
12227988aa735
13cc764a8927
14692717a6db
15389c6b3e78
hex2004661199

137512751513 has 2 divisors, whose sum is σ = 137512751514. Its totient is φ = 137512751512.

The previous prime is 137512751483. The next prime is 137512751527. The reversal of 137512751513 is 315157215731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 113129304409 + 24383447104 = 336347^2 + 156152^2 .

It is an emirp because it is prime and its reverse (315157215731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137512751513 - 216 = 137512685977 is a prime.

It is not a weakly prime, because it can be changed into another prime (137512753513) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68756375756 + 68756375757.

It is an arithmetic number, because the mean of its divisors is an integer number (68756375757).

Almost surely, 2137512751513 is an apocalyptic number.

It is an amenable number.

137512751513 is a deficient number, since it is larger than the sum of its proper divisors (1).

137512751513 is an equidigital number, since it uses as much as digits as its factorization.

137512751513 is an evil number, because the sum of its binary digits is even.

The product of its digits is 110250, while the sum is 41.

The spelling of 137512751513 in words is "one hundred thirty-seven billion, five hundred twelve million, seven hundred fifty-one thousand, five hundred thirteen".