514982770129 has 27 divisors (see below), whose sum is σ = 552523540177. Its totient is φ = 479946262400.

The previous prime is 514982770121. The next prime is 514982770177. The reversal of 514982770129 is 921077289415.

The square root of 514982770129 is 717623.

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 477656530129 + 37326240000 = 691127^2 + 193200^2 .

It is not a de Polignac number, because 514982770129 - 2³ = 514982770121 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 514982770129.

It is not an unprimeable number, because it can be changed into a prime (514982770121) 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, 676718109 + ... + 676718869.

Almost surely, 2^514982770129 is an apocalyptic number.

514982770129 is the 717623-rd square number.

514982770129 is the 358812-nd centered octagonal number.

It is an amenable number.

514982770129 is a deficient number, since it is larger than the sum of its proper divisors (37540770048).

514982770129 is an frugal number, since it uses more digits than its factorization.

514982770129 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1650 (or 825 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 55.

The spelling of 514982770129 in words is "five hundred fourteen billion, nine hundred eighty-two million, seven hundred seventy thousand, one hundred twenty-nine".