13525351300 has 36 divisors (see below), whose sum is σ = 31076487540. Its totient is φ = 5091896320.

The previous prime is 13525351247. The next prime is 13525351309. The reversal of 13525351300 is 315352531.

It can be written as a sum of positive squares in 6 ways, for example, as 1160356096 + 12364995204 = 34064^2 + 111198^2 .

It is not an unprimeable number, because it can be changed into a prime (13525351309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3976345 + ... + 3979744.

It is an arithmetic number, because the mean of its divisors is an integer number (863235765).

Almost surely, 2^13525351300 is an apocalyptic number.

13525351300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13525351300 is an abundant number, since it is smaller than the sum of its proper divisors (17551136240).

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

13525351300 is a wasteful number, since it uses less digits than its factorization.

13525351300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7956120 (or 7956113 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 28.

It can be divided in two parts, 1352535 and 1300, that added together give a triangular number (1353835 = T₁₆₄₅).

The spelling of 13525351300 in words is "thirteen billion, five hundred twenty-five million, three hundred fifty-one thousand, three hundred".