1653413528 has 48 divisors (see below), whose sum is σ = 3363239880. Its totient is φ = 761689344.

The previous prime is 1653413527. The next prime is 1653413537. The reversal of 1653413528 is 8253143561.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1653413491 and 1653413500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1653413521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1157951 + ... + 1159377.

Almost surely, 2^1653413528 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1653413528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1681619940).

1653413528 is an abundant number, since it is smaller than the sum of its proper divisors (1709826352).

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

1653413528 is a wasteful number, since it uses less digits than its factorization.

1653413528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2316 (or 2299 counting only the distinct ones).

The product of its digits is 86400, while the sum is 38.

The square root of 1653413528 is about 40662.1879391653. The cubic root of 1653413528 is about 1182.4800677821.

The spelling of 1653413528 in words is "one billion, six hundred fifty-three million, four hundred thirteen thousand, five hundred twenty-eight".