10517617149 has 24 divisors (see below), whose sum is σ = 15240222432. Its totient is φ = 6448927680.

The previous prime is 10517617147. The next prime is 10517617177. The reversal of 10517617149 is 94171671501.

It is not a de Polignac number, because 10517617149 - 2¹ = 10517617147 is a prime.

It is a super-2 number, since 2×10517617149² (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10517617149.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10517617147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 102994 + ... + 177884.

It is an arithmetic number, because the mean of its divisors is an integer number (635009268).

Almost surely, 2^10517617149 is an apocalyptic number.

It is an amenable number.

10517617149 is a deficient number, since it is larger than the sum of its proper divisors (4722605283).

10517617149 is a wasteful number, since it uses less digits than its factorization.

10517617149 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75197 (or 75184 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 42.

The spelling of 10517617149 in words is "ten billion, five hundred seventeen million, six hundred seventeen thousand, one hundred forty-nine".