1002561952 has 72 divisors (see below), whose sum is σ = 2304430884. Its totient is φ = 428101632.

The previous prime is 1002561943. The next prime is 1002561977. The reversal of 1002561952 is 2591652001.

It can be written as a sum of positive squares in 2 ways, for example, as 995781136 + 6780816 = 31556^2 + 2604^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 496048 + ... + 498064.

Almost surely, 2^1002561952 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 1002561952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1152215442).

1002561952 is an abundant number, since it is smaller than the sum of its proper divisors (1301868932).

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

1002561952 is a wasteful number, since it uses less digits than its factorization.

1002561952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2343 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The square root of 1002561952 is about 31663.2587078462. The cubic root of 1002561952 is about 1000.8532557476.

The spelling of 1002561952 in words is "one billion, two million, five hundred sixty-one thousand, nine hundred fifty-two".