1001051766 has 96 divisors (see below), whose sum is σ = 2698139808. Its totient is φ = 263531520.

The previous prime is 1001051743. The next prime is 1001051767. The reversal of 1001051766 is 6671501001.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1001051767) 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 47 ways as a sum of consecutive naturals, for example, 32320 + ... + 55196.

It is an arithmetic number, because the mean of its divisors is an integer number (28105623).

Almost surely, 2^1001051766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001051766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1349069904).

1001051766 is an abundant number, since it is smaller than the sum of its proper divisors (1697088042).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1001051766 is a wasteful number, since it uses less digits than its factorization.

1001051766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22926 (or 22923 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 1001051766 is about 31639.4021119237. The cubic root of 1001051766 is about 1000.3504658260.

Adding to 1001051766 its reverse (6671501001), we get a palindrome (7672552767).

It can be divided in two parts, 10010 and 51766, that added together give a triangular number (61776 = T₃₅₁).

The spelling of 1001051766 in words is "one billion, one million, fifty-one thousand, seven hundred sixty-six".