1953125000 has 52 divisors (see below), whose sum is σ = 4577636715. Its totient is φ = 781250000.

The previous prime is 1953124993. The next prime is 1953125011. The reversal of 1953125000 is 5213591.

The cubic root of 1953125000 is 1250.

It is a perfect power (a cube), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 8491396 + 1944633604 = 2914^2 + 44098^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=31250.

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 12 ways as a sum of consecutive naturals, for example, 390624998 + ... + 390625002.

Almost surely, 2^1953125000 is an apocalyptic number.

1953125000 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 1953125000

1953125000 is an abundant number, since it is smaller than the sum of its proper divisors (2624511715).

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

1953125000 is an frugal number, since it uses more digits than its factorization.

1953125000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66 (or 7 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 26.

The square root of 1953125000 is about 44194.1738241592.

Adding to 1953125000 its reverse (5213591), we get a palindrome (1958338591).

The spelling of 1953125000 in words is "one billion, nine hundred fifty-three million, one hundred twenty-five thousand".