1285314500 has 48 divisors (see below), whose sum is σ = 2812096560. Its totient is φ = 513216000.

The previous prime is 1285314487. The next prime is 1285314509. The reversal of 1285314500 is 54135821.

It can be written as a sum of positive squares in 8 ways, for example, as 136375684 + 1148938816 = 11678^2 + 33896^2 .

It is not an unprimeable number, because it can be changed into a prime (1285314509) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 328556 + ... + 332444.

It is an arithmetic number, because the mean of its divisors is an integer number (58585345).

Almost surely, 2^1285314500 is an apocalyptic number.

1285314500 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 1285314500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1406048280).

1285314500 is an abundant number, since it is smaller than the sum of its proper divisors (1526782060).

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

1285314500 is a wasteful number, since it uses less digits than its factorization.

1285314500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4569 (or 4557 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 29.

The square root of 1285314500 is about 35851.2831011667. The cubic root of 1285314500 is about 1087.2676563572.

The spelling of 1285314500 in words is "one billion, two hundred eighty-five million, three hundred fourteen thousand, five hundred".