512679540 has 96 divisors (see below), whose sum is σ = 1555424640. Its totient is φ = 125669376.

The previous prime is 512679529. The next prime is 512679551. The reversal of 512679540 is 45976215.

It is an interprime number because it is at equal distance from previous prime (512679529) and next prime (512679551).

It is a super-2 number, since 2×512679540² = 525680621469223200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38016 + ... + 49704.

It is an arithmetic number, because the mean of its divisors is an integer number (16202340).

Almost surely, 2^512679540 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512679540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777712320).

512679540 is an abundant number, since it is smaller than the sum of its proper divisors (1042745100).

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

512679540 is a wasteful number, since it uses less digits than its factorization.

512679540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11761 (or 11759 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 39.

The square root of 512679540 is about 22642.4278733532. The cubic root of 512679540 is about 800.3537706182.

It can be divided in two parts, 5126 and 79540, that added together give a triangular number (84666 = T₄₁₁).

The spelling of 512679540 in words is "five hundred twelve million, six hundred seventy-nine thousand, five hundred forty".