1053405210 has 256 divisors, whose sum is σ = 3127444992. Its totient is φ = 223641600.

The previous prime is 1053405181. The next prime is 1053405233. The reversal of 1053405210 is 125043501.

1053405210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1053405210² = 2219325072910288200, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9322114 + ... + 9322226.

It is an arithmetic number, because the mean of its divisors is an integer number (12216582).

Almost surely, 2^1053405210 is an apocalyptic number.

1053405210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1053405210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1563722496).

1053405210 is an abundant number, since it is smaller than the sum of its proper divisors (2074039782).

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

1053405210 is a wasteful number, since it uses less digits than its factorization.

1053405210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241.

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 1053405210 is about 32456.2044915914. The cubic root of 1053405210 is about 1017.4939150089.

Adding to 1053405210 its reverse (125043501), we get a palindrome (1178448711).

The spelling of 1053405210 in words is "one billion, fifty-three million, four hundred five thousand, two hundred ten".