209514006529 has 27 divisors (see below), whose sum is σ = 219354213897. Its totient is φ = 200110920768.

The previous prime is 209514006523. The next prime is 209514006613. The reversal of 209514006529 is 925600415902.

The square root of 209514006529 is 457727.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3169127025 + 206344879504 = 56295^2 + 454252^2 .

It is not a de Polignac number, because 209514006529 - 2⁵ = 209514006497 is a prime.

It is a super-2 number, since 2×209514006529² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (209514006523) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1507294942 + ... + 1507295080.

Almost surely, 2^209514006529 is an apocalyptic number.

209514006529 is the 457727-th square number.

209514006529 is the 228864-th centered octagonal number.

It is an amenable number.

209514006529 is a deficient number, since it is larger than the sum of its proper divisors (9840207368).

209514006529 is an frugal number, since it uses more digits than its factorization.

209514006529 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530 (or 265 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 43.

The spelling of 209514006529 in words is "two hundred nine billion, five hundred fourteen million, six thousand, five hundred twenty-nine".