53342521600 has 81 divisors (see below), whose sum is σ = 132076824537. Its totient is φ = 21329617920.

The previous prime is 53342521553. The next prime is 53342521607. The reversal of 53342521600 is 612524335.

It is a happy number.

The square root of 53342521600 is 230960.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 19203307776 + 34139213824 = 138576^2 + 184768^2 .

It is a super-2 number, since 2×53342521600² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53342521607) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 18475357 + ... + 18478243.

Almost surely, 2^53342521600 is an apocalyptic number.

53342521600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53342521600 is the 230960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53342521600

53342521600 is an abundant number, since it is smaller than the sum of its proper divisors (78734302937).

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

53342521600 is an frugal number, since it uses more digits than its factorization.

53342521600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5800 (or 2894 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 31.

It can be divided in two parts, 533425 and 21600, that added together give a square (555025 = 745²).

The spelling of 53342521600 in words is "fifty-three billion, three hundred forty-two million, five hundred twenty-one thousand, six hundred".