13525690000 has 75 divisors (see below), whose sum is σ = 32775229663. Its totient is φ = 5405624000.

The previous prime is 13525689917. The next prime is 13525690019. The reversal of 13525690000 is 9652531.

The square root of 13525690000 is 116300.

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

It can be written as a sum of positive squares in 2 ways, for example, as 1060414096 + 12465275904 = 32564^2 + 111648^2 .

It is a super-2 number, since 2×13525690000² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 11629419 + ... + 11630581.

Almost surely, 2^13525690000 is an apocalyptic number.

13525690000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13525690000 is the 116300-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13525690000

13525690000 is an abundant number, since it is smaller than the sum of its proper divisors (19249539663).

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

13525690000 is an frugal number, since it uses more digits than its factorization.

13525690000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2354 (or 1170 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 31.

Multiplying 13525690000 by its product of nonzero digits (8100), we get a square (109558089000000 = 10467000²).

The spelling of 13525690000 in words is "thirteen billion, five hundred twenty-five million, six hundred ninety thousand".