1006753461451 has 4 divisors (see below), whose sum is σ = 1006778936304. Its totient is φ = 1006727986600.

The previous prime is 1006753461443. The next prime is 1006753461533. The reversal of 1006753461451 is 1541643576001.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is not a de Polignac number, because 1006753461451 - 2³ = 1006753461443 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1006753461398 and 1006753461407.

It is not an unprimeable number, because it can be changed into a prime (1006753431451) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 12678055 + ... + 12757216.

It is an arithmetic number, because the mean of its divisors is an integer number (251694734076).

Almost surely, 2^{1006753461451} is an apocalyptic number.

1006753461451 is a deficient number, since it is larger than the sum of its proper divisors (25474853).

1006753461451 is an equidigital number, since it uses as much as digits as its factorization.

1006753461451 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25474852.

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 1006753461451 in words is "one trillion, six billion, seven hundred fifty-three million, four hundred sixty-one thousand, four hundred fifty-one".