6525414000 has 640 divisors, whose sum is σ = 27248732160. Its totient is φ = 1461888000.

The previous prime is 6525413963. The next prime is 6525414029. The reversal of 6525414000 is 4145256.

6525414000 is a `hidden beast` number, since 6 + 5 + 254 + 1 + 400 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 23057859 + ... + 23058141.

It is an arithmetic number, because the mean of its divisors is an integer number (42576144).

Almost surely, 2^6525414000 is an apocalyptic number.

6525414000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6525414000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13624366080).

6525414000 is an abundant number, since it is smaller than the sum of its proper divisors (20723318160).

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

6525414000 is a wasteful number, since it uses less digits than its factorization.

6525414000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 383 (or 361 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 6525414000 is about 80780.0346620376. The cubic root of 6525414000 is about 1868.6846727573.

Adding to 6525414000 its reverse (4145256), we get a palindrome (6529559256).

The spelling of 6525414000 in words is "six billion, five hundred twenty-five million, four hundred fourteen thousand".