1335125616 has 240 divisors, whose sum is σ = 3983411712. Its totient is φ = 384721920.

The previous prime is 1335125609. The next prime is 1335125653. The reversal of 1335125616 is 6165215331.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18289356 + ... + 18289428.

Almost surely, 2^1335125616 is an apocalyptic number.

1335125616 is a gapful number since it is divisible by the number (16) 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 1335125616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1991705856).

1335125616 is an abundant number, since it is smaller than the sum of its proper divisors (2648286096).

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

1335125616 is a wasteful number, since it uses less digits than its factorization.

1335125616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 203 counting only the distinct ones).

The product of its digits is 16200, while the sum is 33.

The square root of 1335125616 is about 36539.3707663391. The cubic root of 1335125616 is about 1101.1353610713.

It can be divided in two parts, 133512 and 5616, that added together give a triangular number (139128 = T₅₂₇).

The spelling of 1335125616 in words is "one billion, three hundred thirty-five million, one hundred twenty-five thousand, six hundred sixteen".