512792049025 has 27 divisors (see below), whose sum is σ = 639986561769. Its totient is φ = 407589816480.

The previous prime is 512792048953. The next prime is 512792049067. The reversal of 512792049025 is 520940297215.

The square root of 512792049025 is 716095.

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 118247264641 + 394544784384 = 343871^2 + 628128^2 .

It is not a de Polignac number, because 512792049025 - 2⁹ = 512792048513 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 705353212 + ... + 705353938.

Almost surely, 2^512792049025 is an apocalyptic number.

512792049025 is the 716095-th square number.

512792049025 is the 358048-th centered octagonal number.

It is an amenable number.

512792049025 is a deficient number, since it is larger than the sum of its proper divisors (127194512744).

512792049025 is an frugal number, since it uses more digits than its factorization.

512792049025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1858 (or 929 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 46.

The spelling of 512792049025 in words is "five hundred twelve billion, seven hundred ninety-two million, forty-nine thousand, twenty-five".