1953125512 has 128 divisors (see below), whose sum is σ = 4358037600. Its totient is φ = 812187648.

The previous prime is 1953125497. The next prime is 1953125543. The reversal of 1953125512 is 2155213591.

It is a happy number.

It can be written as a sum of positive squares in 16 ways, for example, as 1103169796 + 849955716 = 33214^2 + 29154^2 .

It is a sliding number, since 1953125512 = 512 + 1953125000 and 1/512 + 1/1953125000 = 0.001953125512.

It is a Harshad number since it is a multiple of its sum of digits (34).

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 31 ways as a sum of consecutive naturals, for example, 4775164 + ... + 4775572.

Almost surely, 2^1953125512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1953125512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2179018800).

1953125512 is an abundant number, since it is smaller than the sum of its proper divisors (2404912088).

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

1953125512 is a wasteful number, since it uses less digits than its factorization.

1953125512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555 (or 551 counting only the distinct ones).

The product of its digits is 13500, while the sum is 34.

The square root of 1953125512 is about 44194.1796167776. The cubic root of 1953125512 is about 1250.0001092267. Note that the first 3 decimals are identical.

It can be divided in two parts, 1953125 and 512, that multiplied together give a 9-th power (1000000000 = 10⁹).

The spelling of 1953125512 in words is "one billion, nine hundred fifty-three million, one hundred twenty-five thousand, five hundred twelve".