653513040 has 60 divisors (see below), whose sum is σ = 2194717044. Its totient is φ = 174269952.

The previous prime is 653513023. The next prime is 653513083. The reversal of 653513040 is 40315356.

653513040 is a `hidden beast` number, since 6 + 5 + 351 + 304 + 0 = 666.

653513040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 473845824 + 179667216 = 21768^2 + 13404^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a junction number, because it is equal to n+sod(n) for n = 653512995 and 653513013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 453109 + ... + 454548.

Almost surely, 2^653513040 is an apocalyptic number.

653513040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

653513040 is an abundant number, since it is smaller than the sum of its proper divisors (1541204004).

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

653513040 is a wasteful number, since it uses less digits than its factorization.

653513040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907676 (or 907667 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 653513040 is about 25563.9011107460. The cubic root of 653513040 is about 867.7968831081.

Adding to 653513040 its reverse (40315356), we get a palindrome (693828396).

The spelling of 653513040 in words is "six hundred fifty-three million, five hundred thirteen thousand, forty".