511601006160 has 60 divisors (see below), whose sum is σ = 1718126714772. Its totient is φ = 136426934784.

The previous prime is 511601006143. The next prime is 511601006167. The reversal of 511601006160 is 61600106115.

511601006160 is a `hidden beast` number, since 51 + 1 + 601 + 0 + 0 + 6 + 1 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 373047322176 + 138553683984 = 610776^2 + 372228^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (511601006167) 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, 355277757 + ... + 355279196.

Almost surely, 2^511601006160 is an apocalyptic number.

It is an amenable number.

511601006160 is an abundant number, since it is smaller than the sum of its proper divisors (1206525708612).

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

511601006160 is a wasteful number, since it uses less digits than its factorization.

511601006160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 710556972 (or 710556963 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The spelling of 511601006160 in words is "five hundred eleven billion, six hundred one million, six thousand, one hundred sixty".