1352538000 has 720 divisors, whose sum is σ = 5618890368. Its totient is φ = 313632000.

The previous prime is 1352537999. The next prime is 1352538013. The reversal of 1352538000 is 8352531.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 143 ways as a sum of consecutive naturals, for example, 58805989 + ... + 58806011.

Almost surely, 2^1352538000 is an apocalyptic number.

1352538000 is a gapful number since it is divisible by the number (10) 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 1352538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2809445184).

1352538000 is an abundant number, since it is smaller than the sum of its proper divisors (4266352368).

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

1352538000 is a wasteful number, since it uses less digits than its factorization.

1352538000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83 (or 44 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1352538000 is about 36776.8677295933. The cubic root of 1352538000 is about 1105.9016139386.

The spelling of 1352538000 in words is "one billion, three hundred fifty-two million, five hundred thirty-eight thousand".