1003561952 has 96 divisors (see below), whose sum is σ = 2181144672. Its totient is φ = 452542464.

The previous prime is 1003561919. The next prime is 1003561973. The reversal of 1003561952 is 2591653001.

1003561952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

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, 1469003 + ... + 1469685.

It is an arithmetic number, because the mean of its divisors is an integer number (22720257).

Almost surely, 2^1003561952 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 1003561952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1090572336).

1003561952 is an abundant number, since it is smaller than the sum of its proper divisors (1177582720).

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

1003561952 is a wasteful number, since it uses less digits than its factorization.

1003561952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 32.

The square root of 1003561952 is about 31679.0459452301. The cubic root of 1003561952 is about 1001.1859103939.

The spelling of 1003561952 in words is "one billion, three million, five hundred sixty-one thousand, nine hundred fifty-two".