57066516 has 36 divisors (see below), whose sum is σ = 155349012. Its totient is φ = 17558784.

The previous prime is 57066497. The next prime is 57066523. The reversal of 57066516 is 61566075.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8122500 + 48944016 = 2850^2 + 6996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 60501 + ... + 61436.

Almost surely, 2^57066516 is an apocalyptic number.

It is an amenable number.

57066516 is an abundant number, since it is smaller than the sum of its proper divisors (98282496).

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

57066516 is a wasteful number, since it uses less digits than its factorization.

57066516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121960 (or 121955 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

The square root of 57066516 is about 7554.2382805945. The cubic root of 57066516 is about 384.9997548770. Note that the first 3 decimals are identical.

The spelling of 57066516 in words is "fifty-seven million, sixty-six thousand, five hundred sixteen".