10606771657537 has 18 divisors (see below), whose sum is σ = 12384829276694. Its totient is φ = 9075312618240.

The previous prime is 10606771657457. The next prime is 10606771657579. The reversal of 10606771657537 is 73575617760601.

It is a happy number.

10606771657537 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 7573151748096 + 3033619909441 = 2751936^2 + 1741729^2 .

It is not a de Polignac number, because 10606771657537 - 2¹⁹ = 10606771133249 is a prime.

It is a super-2 number, since 2×10606771657537² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10606771657637) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 151624668 + ... + 151694605.

Almost surely, 2^{10606771657537} is an apocalyptic number.

10606771657537 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10606771657537 is a deficient number, since it is larger than the sum of its proper divisors (1778057619157).

10606771657537 is a wasteful number, since it uses less digits than its factorization.

10606771657537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 303319329 (or 303319301 counting only the distinct ones).

The product of its (nonzero) digits is 38896200, while the sum is 61.

The spelling of 10606771657537 in words is "ten trillion, six hundred six billion, seven hundred seventy-one million, six hundred fifty-seven thousand, five hundred thirty-seven".