52013410400 has 144 divisors (see below), whose sum is σ = 146955594240. Its totient is φ = 17607283200.

The previous prime is 52013410391. The next prime is 52013410483. The reversal of 52013410400 is 401431025.

It is a super-2 number, since 2×52013410400² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 383615 + ... + 501185.

It is an arithmetic number, because the mean of its divisors is an integer number (1020524960).

Almost surely, 2^52013410400 is an apocalyptic number.

52013410400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52013410400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73477797120).

52013410400 is an abundant number, since it is smaller than the sum of its proper divisors (94942183840).

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

52013410400 is a wasteful number, since it uses less digits than its factorization.

52013410400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117677 (or 117664 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

Adding to 52013410400 its reverse (401431025), we get a palindrome (52414841425).

The spelling of 52013410400 in words is "fifty-two billion, thirteen million, four hundred ten thousand, four hundred".