6573813963025 has 27 divisors (see below), whose sum is σ = 8257291468923. Its totient is φ = 5191680951600.

The previous prime is 6573813963023. The next prime is 6573813963053. The reversal of 6573813963025 is 5203693183756.

The square root of 6573813963025 is 2563945.

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

It can be written as a sum of positive squares in only one way, i.e., 2366573026689 + 4207240936336 = 1538367^2 + 2051156^2 .

It is not a de Polignac number, because 6573813963025 - 2¹ = 6573813963023 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6573813963023) 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, 1012755030 + ... + 1012761520.

Almost surely, 2^{6573813963025} is an apocalyptic number.

6573813963025 is the 2563945-th square number.

6573813963025 is the 1281973-rd centered octagonal number.

It is an amenable number.

6573813963025 is a deficient number, since it is larger than the sum of its proper divisors (1683477505898).

6573813963025 is an frugal number, since it uses more digits than its factorization.

6573813963025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13150 (or 6575 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 58.

The spelling of 6573813963025 in words is "six trillion, five hundred seventy-three billion, eight hundred thirteen million, nine hundred sixty-three thousand, twenty-five".