13575024424900 has 27 divisors (see below), whose sum is σ = 29457882954381. Its totient is φ = 5429995032240.

The previous prime is 13575024424859. The next prime is 13575024424901. The reversal of 13575024424900 is 942442057531.

The square root of 13575024424900 is 3684430.

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., 4887008792964 + 8688015631936 = 2210658^2 + 2947544^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13575024424901) 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, 36660079 + ... + 37028521.

Almost surely, 2^{13575024424900} is an apocalyptic number.

13575024424900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13575024424900 is the 3684430-th square number.

It is an amenable number.

13575024424900 is an abundant number, since it is smaller than the sum of its proper divisors (15882858529481).

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

13575024424900 is an frugal number, since it uses more digits than its factorization.

13575024424900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 736900 (or 368450 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 13575024424900 in words is "thirteen trillion, five hundred seventy-five billion, twenty-four million, four hundred twenty-four thousand, nine hundred".