1052561408 has 52 divisors (see below), whose sum is σ = 2114162628. Its totient is φ = 523960320.

The previous prime is 1052561407. The next prime is 1052561413. The reversal of 1052561408 is 8041652501.

It can be written as a sum of positive squares in 2 ways, for example, as 100962304 + 951599104 = 10048^2 + 30848^2 .

It is a super-2 number, since 2×1052561408² = 2215771035221884928, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1052561407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1281638 + ... + 1282458.

Almost surely, 2^1052561408 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 1052561408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1057081314).

1052561408 is an abundant number, since it is smaller than the sum of its proper divisors (1061601220).

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

1052561408 is an frugal number, since it uses more digits than its factorization.

1052561408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 1136 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 32.

The square root of 1052561408 is about 32443.2028012032. The cubic root of 1052561408 is about 1017.2221636963. Note that the first 3 decimals are identical.

The spelling of 1052561408 in words is "one billion, fifty-two million, five hundred sixty-one thousand, four hundred eight".