653275260 has 192 divisors, whose sum is σ = 2249856000. Its totient is φ = 156038400.

The previous prime is 653275241. The next prime is 653275283. The reversal of 653275260 is 62572356.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 420966 + ... + 422514.

It is an arithmetic number, because the mean of its divisors is an integer number (11718000).

Almost surely, 2^653275260 is an apocalyptic number.

653275260 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

653275260 is the 12780-th decagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653275260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1124928000).

653275260 is an abundant number, since it is smaller than the sum of its proper divisors (1596580740).

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

653275260 is a wasteful number, since it uses less digits than its factorization.

653275260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 653275260 is about 25559.2499889962. The cubic root of 653275260 is about 867.6916213605.

The spelling of 653275260 in words is "six hundred fifty-three million, two hundred seventy-five thousand, two hundred sixty".