5129749361025 has 189 divisors, whose sum is σ = 10076747039379. Its totient is φ = 2588938057440.

The previous prime is 5129749361017. The next prime is 5129749361053. The reversal of 5129749361025 is 5201639479215.

The square root of 5129749361025 is 2264895.

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

5129749361025 is a `hidden beast` number, since 5 + 1 + 2 + 97 + 493 + 61 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1846709769969 + 3283039591056 = 1358937^2 + 1811916^2 .

It is not a de Polignac number, because 5129749361025 - 2³ = 5129749361017 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 5809455234 + ... + 5809456116.

Almost surely, 2^{5129749361025} is an apocalyptic number.

5129749361025 is the 2264895-th square number.

5129749361025 is the 1132448-th centered octagonal number.

It is an amenable number.

5129749361025 is a deficient number, since it is larger than the sum of its proper divisors (4946997678354).

5129749361025 is an frugal number, since it uses more digits than its factorization.

5129749361025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1832 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 5129749361025 in words is "five trillion, one hundred twenty-nine billion, seven hundred forty-nine million, three hundred sixty-one thousand, twenty-five".