1351125000 has 168 divisors, whose sum is σ = 4577871090. Its totient is φ = 360000000.

The previous prime is 1351124939. The next prime is 1351125019. The reversal of 1351125000 is 5211531.

It can be written as a sum of positive squares in 7 ways, for example, as 1165129956 + 185995044 = 34134^2 + 13638^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1124400 + ... + 1125600.

Almost surely, 2^1351125000 is an apocalyptic number.

1351125000 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 1351125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2288935545).

1351125000 is an abundant number, since it is smaller than the sum of its proper divisors (3226746090).

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

1351125000 is an equidigital number, since it uses as much as digits as its factorization.

1351125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1243 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1351125000 is about 36757.6522645285. The cubic root of 1351125000 is about 1105.5163669780.

Adding to 1351125000 its reverse (5211531), we get a palindrome (1356336531).

The spelling of 1351125000 in words is "one billion, three hundred fifty-one million, one hundred twenty-five thousand".