67821895514025 has 189 divisors, whose sum is σ = 128626761123637. Its totient is φ = 35458359768000.

The previous prime is 67821895513987. The next prime is 67821895514057. The reversal of 67821895514025 is 52041559812876.

The square root of 67821895514025 is 8235405.

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

67821895514025 is a `hidden beast` number, since 6 + 7 + 8 + 2 + 1 + 8 + 95 + 514 + 0 + 25 = 666.

67821895514025 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 510897582441 + 67310997931584 = 714771^2 + 8204328^2 .

It is not a de Polignac number, because 67821895514025 - 2³⁹ = 67272139700137 is a prime.

It is a super-2 number, since 2×67821895514025² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 188 ways as a sum of consecutive naturals, for example, 58924322200 + ... + 58924323350.

Almost surely, 2^{67821895514025} is an apocalyptic number.

67821895514025 is the 8235405-th square number.

67821895514025 is the 4117703-rd centered octagonal number.

It is an amenable number.

67821895514025 is a deficient number, since it is larger than the sum of its proper divisors (60804865609612).

67821895514025 is an frugal number, since it uses more digits than its factorization.

67821895514025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2436 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 67821895514025 in words is "sixty-seven trillion, eight hundred twenty-one billion, eight hundred ninety-five million, five hundred fourteen thousand, twenty-five".