6025513440 has 192 divisors, whose sum is σ = 19334246400. Its totient is φ = 1577078784.

The previous prime is 6025513433. The next prime is 6025513441. The reversal of 6025513440 is 443155206.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 6025513398 and 6025513407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6025513441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12579121 + ... + 12579599.

It is an arithmetic number, because the mean of its divisors is an integer number (100699200).

Almost surely, 2^6025513440 is an apocalyptic number.

6025513440 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 6025513440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9667123200).

6025513440 is an abundant number, since it is smaller than the sum of its proper divisors (13308732960).

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

6025513440 is a wasteful number, since it uses less digits than its factorization.

6025513440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 6025513440 is about 77624.1807686239. The cubic root of 6025513440 is about 1819.6925616833.

Adding to 6025513440 its reverse (443155206), we get a palindrome (6468668646).

The spelling of 6025513440 in words is "six billion, twenty-five million, five hundred thirteen thousand, four hundred forty".