512712090 has 216 divisors, whose sum is σ = 1548941940. Its totient is φ = 117553920.

The previous prime is 512712047. The next prime is 512712107. The reversal of 512712090 is 90217215.

It can be written as a sum of positive squares in 2 ways, for example, as 484484121 + 28227969 = 22011^2 + 5313^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 5760766 + ... + 5760854.

Almost surely, 2^512712090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512712090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (774470970).

512712090 is an abundant number, since it is smaller than the sum of its proper divisors (1036229850).

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

512712090 is a wasteful number, since it uses less digits than its factorization.

512712090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 512712090 is about 22643.1466452876. The cubic root of 512712090 is about 800.3707084009.

It can be divided in two parts, 51271 and 2090, that added together give a square (53361 = 231²).

The spelling of 512712090 in words is "five hundred twelve million, seven hundred twelve thousand, ninety".