3125440512 has 208 divisors, whose sum is σ = 9436032000. Its totient is φ = 1022017536.

The previous prime is 3125440471. The next prime is 3125440547. The reversal of 3125440512 is 2150445213.

3125440512 is a `hidden beast` number, since 3 + 1 + 254 + 405 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6524689 + ... + 6525167.

Almost surely, 2^3125440512 is an apocalyptic number.

3125440512 is a gapful number since it is divisible by the number (32) 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 3125440512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4718016000).

3125440512 is an abundant number, since it is smaller than the sum of its proper divisors (6310591488).

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

3125440512 is an equidigital number, since it uses as much as digits as its factorization.

3125440512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 571 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 3125440512 is about 55905.6393577607. The cubic root of 3125440512 is about 1462.0775626735.

Adding to 3125440512 its reverse (2150445213), we get a palindrome (5275885725).

The spelling of 3125440512 in words is "three billion, one hundred twenty-five million, four hundred forty thousand, five hundred twelve".