512265936 has 160 divisors (see below), whose sum is σ = 1699891200. Its totient is φ = 129203712.

The previous prime is 512265911. The next prime is 512265961. The reversal of 512265936 is 639562215.

It is an interprime number because it is at equal distance from previous prime (512265911) and next prime (512265961).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 512265894 and 512265903.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 97915 + ... + 103013.

It is an arithmetic number, because the mean of its divisors is an integer number (10624320).

Almost surely, 2^512265936 is an apocalyptic number.

512265936 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 512265936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (849945600).

512265936 is an abundant number, since it is smaller than the sum of its proper divisors (1187625264).

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

512265936 is a wasteful number, since it uses less digits than its factorization.

512265936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5153 (or 5147 counting only the distinct ones).

The product of its digits is 97200, while the sum is 39.

The square root of 512265936 is about 22633.2926460115. The cubic root of 512265936 is about 800.1384843596.

The spelling of 512265936 in words is "five hundred twelve million, two hundred sixty-five thousand, nine hundred thirty-six".