10601151516 has 144 divisors (see below), whose sum is σ = 28758221856. Its totient is φ = 3281129472.

The previous prime is 10601151497. The next prime is 10601151523. The reversal of 10601151516 is 61515110601.

10601151516 is a `hidden beast` number, since 1 + 0 + 601 + 1 + 5 + 1 + 51 + 6 = 666.

It is a super-2 number, since 2×10601151516² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10601151516.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19032310 + ... + 19032866.

It is an arithmetic number, because the mean of its divisors is an integer number (199709874).

Almost surely, 2^10601151516 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10601151516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14379110928).

10601151516 is an abundant number, since it is smaller than the sum of its proper divisors (18157070340).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10601151516 is a wasteful number, since it uses less digits than its factorization.

10601151516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 948 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 10601151516 in words is "ten billion, six hundred one million, one hundred fifty-one thousand, five hundred sixteen".