52100424000 has 168 divisors, whose sum is σ = 186372157608. Its totient is φ = 13893427200.

The previous prime is 52100423983. The next prime is 52100424017. The reversal of 52100424000 is 42400125.

It is an interprime number because it is at equal distance from previous prime (52100423983) and next prime (52100424017).

It can be written as a sum of positive squares in 4 ways, for example, as 16678172736 + 35422251264 = 129144^2 + 188208^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 289809 + ... + 433808.

It is an arithmetic number, because the mean of its divisors is an integer number (1109358081).

Almost surely, 2^52100424000 is an apocalyptic number.

52100424000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

52100424000 is an abundant number, since it is smaller than the sum of its proper divisors (134271733608).

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

52100424000 is a wasteful number, since it uses less digits than its factorization.

52100424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723650 (or 723627 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

Adding to 52100424000 its reverse (42400125), we get a palindrome (52142824125).

It can be divided in two parts, 52100 and 424000, that added together give a square (476100 = 690²).

The spelling of 52100424000 in words is "fifty-two billion, one hundred million, four hundred twenty-four thousand".