1006511951401 has 8 divisors (see below), whose sum is σ = 1135875556800. Its totient is φ = 883458765840.

The previous prime is 1006511951377. The next prime is 1006511951407. The reversal of 1006511951401 is 1041591156001.

It is a happy number.

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 1006511951401 - 2⁹ = 1006511950889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1006511951407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1577604621 + ... + 1577605258.

It is an arithmetic number, because the mean of its divisors is an integer number (141984444600).

Almost surely, 2^{1006511951401} is an apocalyptic number.

1006511951401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1006511951401 is a deficient number, since it is larger than the sum of its proper divisors (129363605399).

1006511951401 is a wasteful number, since it uses less digits than its factorization.

1006511951401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155209919.

The product of its (nonzero) digits is 5400, while the sum is 34.

The spelling of 1006511951401 in words is "one trillion, six billion, five hundred eleven million, nine hundred fifty-one thousand, four hundred one".