1351532000 has 384 divisors, whose sum is σ = 4226826240. Its totient is φ = 413337600.

The previous prime is 1351531991. The next prime is 1351532009. The reversal of 1351532000 is 2351531.

It is an interprime number because it is at equal distance from previous prime (1351531991) and next prime (1351532009).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1351532009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17107961 + ... + 17108039.

It is an arithmetic number, because the mean of its divisors is an integer number (11007360).

Almost surely, 2^1351532000 is an apocalyptic number.

1351532000 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 1351532000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2113413120).

1351532000 is an abundant number, since it is smaller than the sum of its proper divisors (2875294240).

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

1351532000 is a wasteful number, since it uses less digits than its factorization.

1351532000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 450, while the sum is 20.

The square root of 1351532000 is about 36763.1881098471. The cubic root of 1351532000 is about 1105.6273609003.

Adding to 1351532000 its reverse (2351531), we get a palindrome (1353883531).

The spelling of 1351532000 in words is "one billion, three hundred fifty-one million, five hundred thirty-two thousand".