510753065661 has 12 divisors (see below), whose sum is σ = 737792169660. Its totient is φ = 340484624640.

The previous prime is 510753065651. The next prime is 510753065663. The reversal of 510753065661 is 166560357015.

510753065661 is a `hidden beast` number, since 5 + 1 + 0 + 7 + 530 + 6 + 56 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 412075408761 + 98677656900 = 641931^2 + 314130^2 .

It is not a de Polignac number, because 510753065661 - 2⁵ = 510753065629 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (510753065663) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1264626 + ... + 1618883.

It is an arithmetic number, because the mean of its divisors is an integer number (61482680805).

Almost surely, 2^510753065661 is an apocalyptic number.

It is an amenable number.

510753065661 is a deficient number, since it is larger than the sum of its proper divisors (227039103999).

510753065661 is a wasteful number, since it uses less digits than its factorization.

510753065661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2903196 (or 2903193 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 510753065661 in words is "five hundred ten billion, seven hundred fifty-three million, sixty-five thousand, six hundred sixty-one".