10349585519 has 18 divisors (see below), whose sum is σ = 13036663800. Its totient is φ = 8188676496.

The previous prime is 10349585503. The next prime is 10349585527. The reversal of 10349585519 is 91558594301.

It is not a de Polignac number, because 10349585519 - 2⁴ = 10349585503 is a prime.

It is a super-2 number, since 2×10349585519² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10349585549) 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, 616619 + ... + 633180.

It is an arithmetic number, because the mean of its divisors is an integer number (724259100).

Almost surely, 2^10349585519 is an apocalyptic number.

10349585519 is a deficient number, since it is larger than the sum of its proper divisors (2687078281).

10349585519 is a wasteful number, since it uses less digits than its factorization.

10349585519 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1249839 (or 1249819 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 50.

The spelling of 10349585519 in words is "ten billion, three hundred forty-nine million, five hundred eighty-five thousand, five hundred nineteen".