1653509130 has 128 divisors (see below), whose sum is σ = 4951715328. Its totient is φ = 344051712.

The previous prime is 1653509113. The next prime is 1653509149. The reversal of 1653509130 is 319053561.

It is a junction number, because it is equal to n+sod(n) for n = 1653509091 and 1653509100.

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, 195142 + ... + 203438.

It is an arithmetic number, because the mean of its divisors is an integer number (38685276).

Almost surely, 2^1653509130 is an apocalyptic number.

1653509130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1653509130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2475857664).

1653509130 is an abundant number, since it is smaller than the sum of its proper divisors (3298206198).

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

1653509130 is a wasteful number, since it uses less digits than its factorization.

1653509130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8400.

The product of its (nonzero) digits is 12150, while the sum is 33.

The square root of 1653509130 is about 40663.3634860669. The cubic root of 1653509130 is about 1182.5028580639.

The spelling of 1653509130 in words is "one billion, six hundred fifty-three million, five hundred nine thousand, one hundred thirty".