1019567952 has 160 divisors (see below), whose sum is σ = 3197295360. Its totient is φ = 309173760.

The previous prime is 1019567909. The next prime is 1019567963. The reversal of 1019567952 is 2597659101.

It is a junction number, because it is equal to n+sod(n) for n = 1019567898 and 1019567907.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397458 + ... + 400014.

It is an arithmetic number, because the mean of its divisors is an integer number (19983096).

Almost surely, 2^1019567952 is an apocalyptic number.

1019567952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1019567952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1598647680).

1019567952 is an abundant number, since it is smaller than the sum of its proper divisors (2177727408).

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

1019567952 is a wasteful number, since it uses less digits than its factorization.

1019567952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2658 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 170100, while the sum is 45.

The square root of 1019567952 is about 31930.6741551130. The cubic root of 1019567952 is about 1006.4805622566.

The spelling of 1019567952 in words is "one billion, nineteen million, five hundred sixty-seven thousand, nine hundred fifty-two".