512066010 has 64 divisors (see below), whose sum is σ = 1317036672. Its totient is φ = 126959616.

The previous prime is 512066003. The next prime is 512066011. The reversal of 512066010 is 10660215.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (512066011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36282 + ... + 48378.

It is an arithmetic number, because the mean of its divisors is an integer number (20578698).

Almost surely, 2^512066010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512066010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (658518336).

512066010 is an abundant number, since it is smaller than the sum of its proper divisors (804970662).

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

512066010 is a wasteful number, since it uses less digits than its factorization.

512066010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12207.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 512066010 is about 22628.8755796659. The cubic root of 512066010 is about 800.0343787309.

The spelling of 512066010 in words is "five hundred twelve million, sixty-six thousand, ten".