6961812824901 has 36 divisors (see below), whose sum is σ = 10357546095456. Its totient is φ = 4156305191280.

The previous prime is 6961812824893. The next prime is 6961812824929. The reversal of 6961812824901 is 1094282181696.

It is not a de Polignac number, because 6961812824901 - 2³ = 6961812824893 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6961812824101) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 506665 + ... + 3765678.

Almost surely, 2^{6961812824901} is an apocalyptic number.

It is an amenable number.

6961812824901 is a deficient number, since it is larger than the sum of its proper divisors (3395733270555).

6961812824901 is a wasteful number, since it uses less digits than its factorization.

6961812824901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4272502 (or 4272424 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 57.

The spelling of 6961812824901 in words is "six trillion, nine hundred sixty-one billion, eight hundred twelve million, eight hundred twenty-four thousand, nine hundred one".