6982510190401 has 8 divisors (see below), whose sum is σ = 7393287492360. Its totient is φ = 6571737489408.

The previous prime is 6982510190399. The next prime is 6982510190407. The reversal of 6982510190401 is 1040910152896.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3258386010000 + 3724124180401 = 1805100^2 + 1929799^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 6982510190401 - 2¹ = 6982510190399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6982510190407) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2263825 + ... + 4369201.

It is an arithmetic number, because the mean of its divisors is an integer number (924160936545).

Almost surely, 2^{6982510190401} is an apocalyptic number.

It is an amenable number.

6982510190401 is a deficient number, since it is larger than the sum of its proper divisors (410777301959).

6982510190401 is a wasteful number, since it uses less digits than its factorization.

6982510190401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2300483.

The product of its (nonzero) digits is 155520, while the sum is 46.

The spelling of 6982510190401 in words is "six trillion, nine hundred eighty-two billion, five hundred ten million, one hundred ninety thousand, four hundred one".