Search a number
-
+
10606131577 is a prime number
BaseRepresentation
bin10011110000010110…
…01011100101111001
31000101011022022100001
421320023023211321
5133210132202302
64512234113001
7523554426256
oct117013134571
930334268301
1010606131577
1145529806a8
12207bb7b761
131000451c02
1472886442d
154211dc787
hex2782cb979

10606131577 has 2 divisors, whose sum is σ = 10606131578. Its totient is φ = 10606131576.

The previous prime is 10606131563. The next prime is 10606131593. The reversal of 10606131577 is 77513160601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5466532096 + 5139599481 = 73936^2 + 71691^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10606131577 is a prime.

It is a super-2 number, since 2×106061315772 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10606134577) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5303065788 + 5303065789.

It is an arithmetic number, because the mean of its divisors is an integer number (5303065789).

Almost surely, 210606131577 is an apocalyptic number.

It is an amenable number.

10606131577 is a deficient number, since it is larger than the sum of its proper divisors (1).

10606131577 is an equidigital number, since it uses as much as digits as its factorization.

10606131577 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 26460, while the sum is 37.

The spelling of 10606131577 in words is "ten billion, six hundred six million, one hundred thirty-one thousand, five hundred seventy-seven".