512405430625 has 135 divisors (see below), whose sum is σ = 748256114991. Its totient is φ = 350467920000.

The previous prime is 512405430619. The next prime is 512405430697. The reversal of 512405430625 is 526034504215.

The square root of 512405430625 is 715825.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 354052370529 + 158353060096 = 595023^2 + 397936^2 .

It is not a de Polignac number, because 512405430625 - 2³ = 512405430617 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 3740185557 + ... + 3740185693.

Almost surely, 2^512405430625 is an apocalyptic number.

512405430625 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

512405430625 is the 715825-th square number.

512405430625 is the 357913-rd centered octagonal number.

It is an amenable number.

512405430625 is a deficient number, since it is larger than the sum of its proper divisors (235850684366).

512405430625 is an equidigital number, since it uses as much as digits as its factorization.

512405430625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 37.

The spelling of 512405430625 in words is "five hundred twelve billion, four hundred five million, four hundred thirty thousand, six hundred twenty-five".