653313900 has 72 divisors (see below), whose sum is σ = 1903975360. Its totient is φ = 172952640.

The previous prime is 653313887. The next prime is 653313901. The reversal of 653313900 is 9313356.

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

It is not an unprimeable number, because it can be changed into a prime (653313901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33867 + ... + 49533.

Almost surely, 2^653313900 is an apocalyptic number.

653313900 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 653313900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (951987680).

653313900 is an abundant number, since it is smaller than the sum of its proper divisors (1250661460).

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

653313900 is a wasteful number, since it uses less digits than its factorization.

653313900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15823 (or 15816 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 30.

The square root of 653313900 is about 25560.0058685439. The cubic root of 653313900 is about 867.7087284644.

The spelling of 653313900 in words is "six hundred fifty-three million, three hundred thirteen thousand, nine hundred".