1006976430401 has 2 divisors, whose sum is σ = 1006976430402. Its totient is φ = 1006976430400.

The previous prime is 1006976430371. The next prime is 1006976430431. The reversal of 1006976430401 is 1040346796001.

1006976430401 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (1006976430371) and next prime (1006976430431).

It can be written as a sum of positive squares in only one way, i.e., 619370574001 + 387605856400 = 787001^2 + 622580^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-1006976430401 is a prime.

It is not a weakly prime, because it can be changed into another prime (1006976430431) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 503488215200 + 503488215201.

It is an arithmetic number, because the mean of its divisors is an integer number (503488215201).

Almost surely, 2^{1006976430401} is an apocalyptic number.

It is an amenable number.

1006976430401 is a deficient number, since it is larger than the sum of its proper divisors (1).

1006976430401 is an equidigital number, since it uses as much as digits as its factorization.

1006976430401 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108864, while the sum is 41.

The spelling of 1006976430401 in words is "one trillion, six billion, nine hundred seventy-six million, four hundred thirty thousand, four hundred one".