10514101450500 has 72 divisors (see below), whose sum is σ = 33168485390040. Its totient is φ = 2803760385600.

The previous prime is 10514101450483. The next prime is 10514101450537. The reversal of 10514101450500 is 505410141501.

10514101450500 is a `hidden beast` number, since 1 + 0 + 5 + 1 + 4 + 10 + 145 + 0 + 500 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3015168307776 + 7498933142724 = 1736424^2 + 2738418^2 .

It is a super-2 number, since 2×10514101450500² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1168228995 + ... + 1168237994.

It is an arithmetic number, because the mean of its divisors is an integer number (460673408195).

Almost surely, 2^{10514101450500} is an apocalyptic number.

10514101450500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10514101450500 is an abundant number, since it is smaller than the sum of its proper divisors (22654383939540).

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

10514101450500 is a wasteful number, since it uses less digits than its factorization.

10514101450500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2336467014 (or 2336466999 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 10514101450500 in words is "ten trillion, five hundred fourteen billion, one hundred one million, four hundred fifty thousand, five hundred".