52101400 has 96 divisors (see below), whose sum is σ = 135147600. Its totient is φ = 18547200.

The previous prime is 52101391. The next prime is 52101409. The reversal of 52101400 is 410125.

It is an interprime number because it is at equal distance from previous prime (52101391) and next prime (52101409).

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (52101409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75055 + ... + 75745.

Almost surely, 2^52101400 is an apocalyptic number.

52101400 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 52101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67573800).

52101400 is an abundant number, since it is smaller than the sum of its proper divisors (83046200).

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

52101400 is a wasteful number, since it uses less digits than its factorization.

52101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 749 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 13.

The square root of 52101400 is about 7218.1299517257. The cubic root of 52101400 is about 373.4935713789.

Adding to 52101400 its reverse (410125), we get a palindrome (52511525).

The spelling of 52101400 in words is "fifty-two million, one hundred one thousand, four hundred".