68121522001 has 27 divisors (see below), whose sum is σ = 78425473683. Its totient is φ = 59132386560.

The previous prime is 68121521987. The next prime is 68121522011. The reversal of 68121522001 is 10022512186.

The square root of 68121522001 is 261001.

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

It can be written as a sum of positive squares in 13 ways, for example, as 9712299601 + 58409222400 = 98551^2 + 241680^2 .

It is not a de Polignac number, because 68121522001 - 2¹¹ = 68121519953 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (68121522011) 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, 57680631 + ... + 57681811.

Almost surely, 2^68121522001 is an apocalyptic number.

68121522001 is the 261001-st square number.

68121522001 is the 130501-st centered octagonal number.

It is an amenable number.

68121522001 is a deficient number, since it is larger than the sum of its proper divisors (10303951682).

68121522001 is an equidigital number, since it uses as much as digits as its factorization.

68121522001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2422 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 28.

The spelling of 68121522001 in words is "sixty-eight billion, one hundred twenty-one million, five hundred twenty-two thousand, one".