1019225872 has 80 divisors (see below), whose sum is σ = 2315824000. Its totient is φ = 434367360.

The previous prime is 1019225869. The next prime is 1019225897. The reversal of 1019225872 is 2785229101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1256347 + ... + 1257157.

It is an arithmetic number, because the mean of its divisors is an integer number (28947800).

Almost surely, 2^1019225872 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1019225872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1157912000).

1019225872 is an abundant number, since it is smaller than the sum of its proper divisors (1296598128).

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

1019225872 is an equidigital number, since it uses as much as digits as its factorization.

1019225872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1069 (or 1049 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 37.

The square root of 1019225872 is about 31925.3171010093. The cubic root of 1019225872 is about 1006.3679866692.

The spelling of 1019225872 in words is "one billion, nineteen million, two hundred twenty-five thousand, eight hundred seventy-two".