1332753616 has 40 divisors (see below), whose sum is σ = 2679455240. Its totient is φ = 641654784.

The previous prime is 1332753601. The next prime is 1332753623. The reversal of 1332753616 is 6163572331.

It can be written as a sum of positive squares in 4 ways, for example, as 581774400 + 750979216 = 24120^2 + 27404^2 .

It is a super-2 number, since 2×1332753616² = 3552464401922150912, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45820 + ... + 69028.

It is an arithmetic number, because the mean of its divisors is an integer number (66986381).

Almost surely, 2^1332753616 is an apocalyptic number.

1332753616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1332753616 is an abundant number, since it is smaller than the sum of its proper divisors (1346701624).

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

1332753616 is a wasteful number, since it uses less digits than its factorization.

1332753616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23351 (or 23345 counting only the distinct ones).

The product of its digits is 68040, while the sum is 37.

The square root of 1332753616 is about 36506.8981974640. The cubic root of 1332753616 is about 1100.4828778025.

The spelling of 1332753616 in words is "one billion, three hundred thirty-two million, seven hundred fifty-three thousand, six hundred sixteen".