13785450525 has 216 divisors, whose sum is σ = 31794804288. Its totient is φ = 5644800000.

The previous prime is 13785450521. The next prime is 13785450571. The reversal of 13785450525 is 52505458731.

13785450525 is a `hidden beast` number, since 1 + 3 + 7 + 85 + 45 + 0 + 525 = 666.

13785450525 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 13785450525 - 2² = 13785450521 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13785450521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8609725 + ... + 8611325.

It is an arithmetic number, because the mean of its divisors is an integer number (147198168).

Almost surely, 2^13785450525 is an apocalyptic number.

13785450525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13785450525 is an abundant number, since it is smaller than the sum of its proper divisors (18009353763).

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

13785450525 is a wasteful number, since it uses less digits than its factorization.

13785450525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1713 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 13785450525 in words is "thirteen billion, seven hundred eighty-five million, four hundred fifty thousand, five hundred twenty-five".