6253511040 has 640 divisors, whose sum is σ = 26895686400. Its totient is φ = 1352650752.

The previous prime is 6253510981. The next prime is 6253511063. The reversal of 6253511040 is 401153526.

6253511040 is a `hidden beast` number, since 62 + 53 + 511 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

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

It is a junction number, because it is equal to n+sod(n) for n = 6253510995 and 6253511013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6894267 + ... + 6895173.

It is an arithmetic number, because the mean of its divisors is an integer number (42024510).

Almost surely, 2^6253511040 is an apocalyptic number.

6253511040 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 6253511040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13447843200).

6253511040 is an abundant number, since it is smaller than the sum of its proper divisors (20642175360).

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

6253511040 is a wasteful number, since it uses less digits than its factorization.

6253511040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 964 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 6253511040 is about 79079.1441531837. The cubic root of 6253511040 is about 1842.3606122695.

Adding to 6253511040 its reverse (401153526), we get a palindrome (6654664566).

The spelling of 6253511040 in words is "six billion, two hundred fifty-three million, five hundred eleven thousand, forty".