6657457842025 has 27 divisors (see below), whose sum is σ = 8279973277239. Its totient is φ = 5310061890000.

The previous prime is 6657457842023. The next prime is 6657457842041. The reversal of 6657457842025 is 5202487547566.

The square root of 6657457842025 is 2580205.

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., 2396684823129 + 4260773018896 = 1548123^2 + 2064164^2 .

It is not a de Polignac number, because 6657457842025 - 2¹ = 6657457842023 is a prime.

It is a super-2 number, since 2×6657457842025² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6657457842023) 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, 6334402750 + ... + 6334403800.

Almost surely, 2^{6657457842025} is an apocalyptic number.

6657457842025 is the 2580205-th square number.

6657457842025 is the 1290103-rd centered octagonal number.

It is an amenable number.

6657457842025 is a deficient number, since it is larger than the sum of its proper divisors (1622515435214).

6657457842025 is an frugal number, since it uses more digits than its factorization.

6657457842025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3094 (or 1547 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 61.

The spelling of 6657457842025 in words is "six trillion, six hundred fifty-seven billion, four hundred fifty-seven million, eight hundred forty-two thousand, twenty-five".