1653227520 has 360 divisors, whose sum is σ = 6247225152. Its totient is φ = 365690880.

The previous prime is 1653227483. The next prime is 1653227533. The reversal of 1653227520 is 257223561.

It is a super-2 number, since 2×1653227520² = 5466322465770700800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53329905 + ... + 53329935.

Almost surely, 2^1653227520 is an apocalyptic number.

1653227520 is a gapful number since it is divisible by the number (10) 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 1653227520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123612576).

1653227520 is an abundant number, since it is smaller than the sum of its proper divisors (4593997632).

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

1653227520 is an frugal number, since it uses more digits than its factorization.

1653227520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 33.

The square root of 1653227520 is about 40659.9006393277. The cubic root of 1653227520 is about 1182.4357233603.

The spelling of 1653227520 in words is "one billion, six hundred fifty-three million, two hundred twenty-seven thousand, five hundred twenty".