1001048772 has 48 divisors (see below), whose sum is σ = 2412571392. Its totient is φ = 322859040.

The previous prime is 1001048749. The next prime is 1001048813. The reversal of 1001048772 is 2778401001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46147 + ... + 64277.

It is an arithmetic number, because the mean of its divisors is an integer number (50261904).

Almost surely, 2^1001048772 is an apocalyptic number.

1001048772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001048772 is an abundant number, since it is smaller than the sum of its proper divisors (1411522620).

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

1001048772 is a wasteful number, since it uses less digits than its factorization.

1001048772 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18288 (or 18286 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 30.

The square root of 1001048772 is about 31639.3547974670. The cubic root of 1001048772 is about 1000.3494685242.

Adding to 1001048772 its reverse (2778401001), we get a palindrome (3779449773).

It can be divided in two parts, 1001048 and 772, that added together give a triangular number (1001820 = T₁₄₁₅).

The spelling of 1001048772 in words is "one billion, one million, forty-eight thousand, seven hundred seventy-two".