10605510000513 has 48 divisors (see below), whose sum is σ = 16503284528640. Its totient is φ = 6547860748800.

The previous prime is 10605510000499. The next prime is 10605510000601. The reversal of 10605510000513 is 31500001550601.

10605510000513 is a `hidden beast` number, since 1 + 0 + 60 + 551 + 0 + 0 + 0 + 0 + 51 + 3 = 666.

It is not a de Polignac number, because 10605510000513 - 2¹⁷ = 10605509869441 is a prime.

It is a super-2 number, since 2×10605510000513² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10605510000313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4885623 + ... + 6714188.

It is an arithmetic number, because the mean of its divisors is an integer number (343818427680).

Almost surely, 2^{10605510000513} is an apocalyptic number.

It is an amenable number.

10605510000513 is a deficient number, since it is larger than the sum of its proper divisors (5897774528127).

10605510000513 is a wasteful number, since it uses less digits than its factorization.

10605510000513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11599990 (or 11599987 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 10605510000513 in words is "ten trillion, six hundred five billion, five hundred ten million, five hundred thirteen", and thus it is an aban number.