6130204605625 has 45 divisors (see below), whose sum is σ = 7747678340721. Its totient is φ = 4848851520000.

The previous prime is 6130204605601. The next prime is 6130204605631. The reversal of 6130204605625 is 5265064020316.

It is a happy number.

The square root of 6130204605625 is 2475925.

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

It can be written as a sum of positive squares in 22 ways, for example, as 5748087765289 + 382116840336 = 2397517^2 + 618156^2 .

It is not a de Polignac number, because 6130204605625 - 2²⁹ = 6129667734713 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6004117615 + ... + 6004118635.

Almost surely, 2^{6130204605625} is an apocalyptic number.

6130204605625 is the 2475925-th square number.

6130204605625 is the 1237963-rd centered octagonal number.

It is an amenable number.

6130204605625 is a deficient number, since it is larger than the sum of its proper divisors (1617473735096).

6130204605625 is an frugal number, since it uses more digits than its factorization.

6130204605625 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 40.

The spelling of 6130204605625 in words is "six trillion, one hundred thirty billion, two hundred four million, six hundred five thousand, six hundred twenty-five".