512350272 has 210 divisors, whose sum is σ = 1767604542. Its totient is φ = 146313216.

The previous prime is 512350261. The next prime is 512350283. The reversal of 512350272 is 272053215.

It is an interprime number because it is at equal distance from previous prime (512350261) and next prime (512350283).

It can be written as a sum of positive squares in only one way, i.e., 491774976 + 20575296 = 22176^2 + 4536^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 253008 + ... + 255024.

Almost surely, 2^512350272 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 512350272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (883802271).

512350272 is an abundant number, since it is smaller than the sum of its proper divisors (1255254270).

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

512350272 is a wasteful number, since it uses less digits than its factorization.

512350272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2055 (or 2029 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 27.

The square root of 512350272 is about 22635.1556654687. The cubic root of 512350272 is about 800.1823917467.

The spelling of 512350272 in words is "five hundred twelve million, three hundred fifty thousand, two hundred seventy-two".