Search a number
-
+
137315053 is a prime number
BaseRepresentation
bin10000010111101…
…00001011101101
3100120101022211201
420023310023231
5240123040203
621343045501
73255105301
oct1013641355
9316338751
10137315053
1170568917
1239ba0891
13225aa215
1414345d01
15c0c5e1d
hex82f42ed

137315053 has 2 divisors, whose sum is σ = 137315054. Its totient is φ = 137315052.

The previous prime is 137315047. The next prime is 137315077. The reversal of 137315053 is 350513731.

137315053 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130827844 + 6487209 = 11438^2 + 2547^2 .

It is a cyclic number.

It is not a de Polignac number, because 137315053 - 213 = 137306861 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137315023) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68657526 + 68657527.

It is an arithmetic number, because the mean of its divisors is an integer number (68657527).

Almost surely, 2137315053 is an apocalyptic number.

It is an amenable number.

137315053 is a deficient number, since it is larger than the sum of its proper divisors (1).

137315053 is an equidigital number, since it uses as much as digits as its factorization.

137315053 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4725, while the sum is 28.

The square root of 137315053 is about 11718.1505793363. The cubic root of 137315053 is about 515.9085392149.

Adding to 137315053 its reverse (350513731), we get a palindrome (487828784).

The spelling of 137315053 in words is "one hundred thirty-seven million, three hundred fifteen thousand, fifty-three".