1052530405410 has 256 divisors, whose sum is σ = 2831218790400. Its totient is φ = 248272819200.

The previous prime is 1052530405391. The next prime is 1052530405439. The reversal of 1052530405410 is 145040352501.

1052530405410 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 2×1052530405410² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a Curzon number.

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, 1088448747 + ... + 1088449713.

It is an arithmetic number, because the mean of its divisors is an integer number (11059448400).

Almost surely, 2^{1052530405410} is an apocalyptic number.

1052530405410 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 1052530405410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1415609395200).

1052530405410 is an abundant number, since it is smaller than the sum of its proper divisors (1778688384990).

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

1052530405410 is a wasteful number, since it uses less digits than its factorization.

1052530405410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1577.

The product of its (nonzero) digits is 12000, while the sum is 30.

Adding to 1052530405410 its reverse (145040352501), we get a palindrome (1197570757911).

The spelling of 1052530405410 in words is "one trillion, fifty-two billion, five hundred thirty million, four hundred five thousand, four hundred ten".