1053205504 has 88 divisors (see below), whose sum is σ = 2306281208. Its totient is φ = 477757440.

The previous prime is 1053205463. The next prime is 1053205507. The reversal of 1053205504 is 4055023501.

It can be written as a sum of positive squares in 4 ways, for example, as 69755904 + 983449600 = 8352^2 + 31360^2 .

It is a super-2 number, since 2×1053205504² = 2218483667311788032, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1053205507) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 811384 + ... + 812680.

It is an arithmetic number, because the mean of its divisors is an integer number (26207741).

Almost surely, 2^1053205504 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 1053205504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153140604).

1053205504 is an abundant number, since it is smaller than the sum of its proper divisors (1253075704).

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

1053205504 is a wasteful number, since it uses less digits than its factorization.

1053205504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1391 (or 1373 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 25.

The square root of 1053205504 is about 32453.1277999517. The cubic root of 1053205504 is about 1017.4296116493.

The spelling of 1053205504 in words is "one billion, fifty-three million, two hundred five thousand, five hundred four".