1352764512 has 144 divisors (see below), whose sum is σ = 4232526480. Its totient is φ = 409812480.

The previous prime is 1352764507. The next prime is 1352764519. The reversal of 1352764512 is 2154672531.

1352764512 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 7 + 645 + 1 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1352764519) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 381564 + ... + 385092.

It is an arithmetic number, because the mean of its divisors is an integer number (29392545).

Almost surely, 2^1352764512 is an apocalyptic number.

1352764512 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 1352764512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2116263240).

1352764512 is an abundant number, since it is smaller than the sum of its proper divisors (2879761968).

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

1352764512 is a wasteful number, since it uses less digits than its factorization.

1352764512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3578 (or 3545 counting only the distinct ones).

The product of its digits is 50400, while the sum is 36.

The square root of 1352764512 is about 36779.9471451496. The cubic root of 1352764512 is about 1105.9633462778.

The spelling of 1352764512 in words is "one billion, three hundred fifty-two million, seven hundred sixty-four thousand, five hundred twelve".