52014900 has 288 divisors, whose sum is σ = 191987712. Its totient is φ = 10598400.

The previous prime is 52014871. The next prime is 52014923. The reversal of 52014900 is 941025.

52014900 is a nontrivial binomial coefficient, being equal to C(10200, 2).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1106677 + ... + 1106723.

It is an arithmetic number, because the mean of its divisors is an integer number (666624).

Almost surely, 2^52014900 is an apocalyptic number.

52014900 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

52014900 is the 10199-th triangular number and also the 5100-th hexagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52014900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95993856).

52014900 is an abundant number, since it is smaller than the sum of its proper divisors (139972812).

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

52014900 is a wasteful number, since it uses less digits than its factorization.

52014900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 52014900 is about 7212.1356060462. The cubic root of 52014900 is about 373.2867625440.

Adding to 52014900 its reverse (941025), we get a palindrome (52955925).

It can be divided in two parts, 5201 and 4900, that added together give a palindrome (10101).

The spelling of 52014900 in words is "fifty-two million, fourteen thousand, nine hundred".