1005180772 has 6 divisors (see below), whose sum is σ = 1759066358. Its totient is φ = 502590384.

The previous prime is 1005180767. The next prime is 1005180823. The reversal of 1005180772 is 2770815001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 705752356 + 299428416 = 26566^2 + 17304^2 .

It is an unprimeable number.

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 as a sum of consecutive naturals, namely, 125647593 + ... + 125647600.

Almost surely, 2^1005180772 is an apocalyptic number.

It is an amenable number.

1005180772 is a deficient number, since it is larger than the sum of its proper divisors (753885586).

1005180772 is a wasteful number, since it uses less digits than its factorization.

1005180772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251295197 (or 251295195 counting only the distinct ones).

The product of its (nonzero) digits is 3920, while the sum is 31.

The square root of 1005180772 is about 31704.5859774260. The cubic root of 1005180772 is about 1001.7239502875.

Adding to 1005180772 its reverse (2770815001), we get a palindrome (3775995773).

The spelling of 1005180772 in words is "one billion, five million, one hundred eighty thousand, seven hundred seventy-two".