2057609152512 has 144 divisors (see below), whose sum is σ = 6103369965420. Its totient is φ = 667332476928.

The previous prime is 2057609152499. The next prime is 2057609152537. The reversal of 2057609152512 is 2152519067502.

2057609152512 is a `hidden beast` number, since 2 + 0 + 5 + 7 + 609 + 1 + 5 + 25 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2008047707136 + 49561445376 = 1417056^2 + 222624^2 .

It is a tau number, because it is divible by the number of its divisors (144).

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 11 ways as a sum of consecutive naturals, for example, 826563 + ... + 2190530.

Almost surely, 2^{2057609152512} is an apocalyptic number.

It is an amenable number.

2057609152512 is an abundant number, since it is smaller than the sum of its proper divisors (4045760812908).

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

2057609152512 is a wasteful number, since it uses less digits than its factorization.

2057609152512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3017158 (or 3017135 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The spelling of 2057609152512 in words is "two trillion, fifty-seven billion, six hundred nine million, one hundred fifty-two thousand, five hundred twelve".