5451968153025 has 27 divisors (see below), whose sum is σ = 9765143468899. Its totient is φ = 2907697668720.

The previous prime is 5451968153011. The next prime is 5451968153033. The reversal of 5451968153025 is 5203518691545.

The square root of 5451968153025 is 2334945.

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

5451968153025 is a `hidden beast` number, since 5 + 4 + 5 + 1 + 9 + 6 + 81 + 530 + 25 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1962708535089 + 3489259617936 = 1400967^2 + 1867956^2 .

It is not a de Polignac number, because 5451968153025 - 2⁵ = 5451968152993 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 34946344 + ... + 35102006.

Almost surely, 2^{5451968153025} is an apocalyptic number.

5451968153025 is the 2334945-th square number.

5451968153025 is the 1167473-rd centered octagonal number.

It is an amenable number.

5451968153025 is a deficient number, since it is larger than the sum of its proper divisors (4313175315874).

5451968153025 is an frugal number, since it uses more digits than its factorization.

5451968153025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 311342 (or 155671 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 5451968153025 in words is "five trillion, four hundred fifty-one billion, nine hundred sixty-eight million, one hundred fifty-three thousand, twenty-five".