Search a number
-
+
10137537517 is a prime number
BaseRepresentation
bin10010111000011111…
…01000101111101101
3222011111120021010111
421130033220233231
5131230202200032
64353534340021
7506134434652
oct113417505755
928144507114
1010137537517
114332414a88
121b6b05a611
13c57344a13
146c2525c29
153e4ec9c47
hex25c3e8bed

10137537517 has 2 divisors, whose sum is σ = 10137537518. Its totient is φ = 10137537516.

The previous prime is 10137537499. The next prime is 10137537539. The reversal of 10137537517 is 71573573101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8901733801 + 1235803716 = 94349^2 + 35154^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10137537517 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10137537517.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10137537217) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5068768758 + 5068768759.

It is an arithmetic number, because the mean of its divisors is an integer number (5068768759).

Almost surely, 210137537517 is an apocalyptic number.

It is an amenable number.

10137537517 is a deficient number, since it is larger than the sum of its proper divisors (1).

10137537517 is an equidigital number, since it uses as much as digits as its factorization.

10137537517 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 77175, while the sum is 40.

The spelling of 10137537517 in words is "ten billion, one hundred thirty-seven million, five hundred thirty-seven thousand, five hundred seventeen".