1325400000 has 252 divisors, whose sum is σ = 4478447736. Its totient is φ = 345920000.

The previous prime is 1325399981. The next prime is 1325400031. The reversal of 1325400000 is 45231.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28199977 + ... + 28200023.

It is an arithmetic number, because the mean of its divisors is an integer number (17771618).

Almost surely, 2^1325400000 is an apocalyptic number.

1325400000 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 1325400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2239223868).

1325400000 is an abundant number, since it is smaller than the sum of its proper divisors (3153047736).

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

1325400000 is an frugal number, since it uses more digits than its factorization.

1325400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 1325400000 is about 36406.0434543497. The cubic root of 1325400000 is about 1098.4551316382.

Multiplying 1325400000 by its sum of digits (15), we get a square (19881000000 = 141000²).

1325400000 divided by its sum of digits (15) gives a square (88360000 = 9400²).

Adding to 1325400000 its reverse (45231), we get a palindrome (1325445231).

The spelling of 1325400000 in words is "one billion, three hundred twenty-five million, four hundred thousand".