5745872673025 has 27 divisors (see below), whose sum is σ = 7178590376841. Its totient is φ = 4562305193280.

The previous prime is 5745872673011. The next prime is 5745872673029. The reversal of 5745872673025 is 5203762785475.

The square root of 5745872673025 is 2397055.

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 3271782763249 + 2474089909776 = 1808807^2 + 1572924^2 .

It is not a de Polignac number, because 5745872673025 - 2⁵ = 5745872672993 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5745872673029) 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, 1665951501 + ... + 1665954949.

Almost surely, 2^{5745872673025} is an apocalyptic number.

5745872673025 is the 2397055-th square number.

5745872673025 is the 1198528-th centered octagonal number.

It is an amenable number.

5745872673025 is a deficient number, since it is larger than the sum of its proper divisors (1432717703816).

5745872673025 is an frugal number, since it uses more digits than its factorization.

5745872673025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7186 (or 3593 counting only the distinct ones).

The product of its (nonzero) digits is 98784000, while the sum is 61.

The spelling of 5745872673025 in words is "five trillion, seven hundred forty-five billion, eight hundred seventy-two million, six hundred seventy-three thousand, twenty-five".