65010510513 has 18 divisors (see below), whose sum is σ = 101683108566. Its totient is φ = 40006467072.

The previous prime is 65010510511. The next prime is 65010510517. The reversal of 65010510513 is 31501501056.

65010510513 is a `hidden beast` number, since 650 + 1 + 0 + 5 + 1 + 0 + 5 + 1 + 3 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 2078265744 + 62932244769 = 45588^2 + 250863^2 .

It is not a de Polignac number, because 65010510513 - 2¹ = 65010510511 is a prime.

It is not an unprimeable number, because it can be changed into a prime (65010510511) 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, 21369456 + ... + 21372497.

It is an arithmetic number, because the mean of its divisors is an integer number (5649061587).

Almost surely, 2^65010510513 is an apocalyptic number.

It is an amenable number.

65010510513 is a deficient number, since it is larger than the sum of its proper divisors (36672598053).

65010510513 is a wasteful number, since it uses less digits than its factorization.

65010510513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42741985 (or 42741969 counting only the distinct ones).

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

The spelling of 65010510513 in words is "sixty-five billion, ten million, five hundred ten thousand, five hundred thirteen".