6961149283201 has 9 divisors (see below), whose sum is σ = 7277030456899. Its totient is φ = 6658432573936.

The previous prime is 6961149283177. The next prime is 6961149283211. The reversal of 6961149283201 is 1023829411696.

The square root of 6961149283201 is 2638399.

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., 5914161929025 + 1046987354176 = 2431905^2 + 1023224^2 .

It is not a de Polignac number, because 6961149283201 - 2⁷ = 6961149283073 is a prime.

It is a super-2 number, since 2×6961149283201² (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 (6961149283211) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 60625821 + ... + 60740533.

Almost surely, 2^{6961149283201} is an apocalyptic number.

6961149283201 is the 2638399-th square number.

6961149283201 is the 1319200-th centered octagonal number.

It is an amenable number.

6961149283201 is a deficient number, since it is larger than the sum of its proper divisors (315881173698).

6961149283201 is an frugal number, since it uses more digits than its factorization.

6961149283201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229472 (or 114736 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 52.

The spelling of 6961149283201 in words is "six trillion, nine hundred sixty-one billion, one hundred forty-nine million, two hundred eighty-three thousand, two hundred one".