1365123552 has 96 divisors (see below), whose sum is σ = 4062280320. Its totient is φ = 397923840.

The previous prime is 1365123541. The next prime is 1365123637. The reversal of 1365123552 is 2553215631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 5074 + ... + 52497.

It is an arithmetic number, because the mean of its divisors is an integer number (42315420).

Almost surely, 2^1365123552 is an apocalyptic number.

1365123552 is a gapful number since it is divisible by the number (12) 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 1365123552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031140160).

1365123552 is an abundant number, since it is smaller than the sum of its proper divisors (2697156768).

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

1365123552 is a wasteful number, since it uses less digits than its factorization.

1365123552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57616 (or 57608 counting only the distinct ones).

The product of its digits is 27000, while the sum is 33.

The square root of 1365123552 is about 36947.5784321517. The cubic root of 1365123552 is about 1109.3212179833.

The spelling of 1365123552 in words is "one billion, three hundred sixty-five million, one hundred twenty-three thousand, five hundred fifty-two".