1070805966951 has 24 divisors (see below), whose sum is σ = 1661702442624. Its totient is φ = 611572085040.

The previous prime is 1070805966949. The next prime is 1070805966959. The reversal of 1070805966951 is 1596695080701.

It is not a de Polignac number, because 1070805966951 - 2¹ = 1070805966949 is a prime.

It is a super-2 number, since 2×1070805966951² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1070805966891 and 1070805966900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1070805966959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1602315 + ... + 2170028.

It is an arithmetic number, because the mean of its divisors is an integer number (69237601776).

Almost surely, 2^{1070805966951} is an apocalyptic number.

1070805966951 is a deficient number, since it is larger than the sum of its proper divisors (590896475673).

1070805966951 is a wasteful number, since it uses less digits than its factorization.

1070805966951 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3774291 (or 3774284 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 57.

The spelling of 1070805966951 in words is "one trillion, seventy billion, eight hundred five million, nine hundred sixty-six thousand, nine hundred fifty-one".