6353513040 has 80 divisors (see below), whose sum is σ = 22509595008. Its totient is φ = 1452231168.

The previous prime is 6353513021. The next prime is 6353513041. The reversal of 6353513040 is 403153536.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 6353512989 and 6353513007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6353513041) 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 15 ways as a sum of consecutive naturals, for example, 1889247 + ... + 1892606.

Almost surely, 2^6353513040 is an apocalyptic number.

6353513040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

6353513040 is an abundant number, since it is smaller than the sum of its proper divisors (16156081968).

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

6353513040 is a wasteful number, since it uses less digits than its factorization.

6353513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3781876 (or 3781870 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 6353513040 is about 79708.9269780995. The cubic root of 6353513040 is about 1852.1293271445.

Adding to 6353513040 its reverse (403153536), we get a palindrome (6756666576).

The spelling of 6353513040 in words is "six billion, three hundred fifty-three million, five hundred thirteen thousand, forty".