31752000000 has 1050 divisors, whose sum is σ = 137803529061. Its totient is φ = 7257600000.

The previous prime is 31751999987. The next prime is 31752000013. The reversal of 31752000000 is 25713.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is an interprime number because it is at equal distance from previous prime (31751999987) and next prime (31752000013).

It can be written as a sum of positive squares in 4 ways, for example, as 5414605056 + 26337394944 = 73584^2 + 162288^2 .

It is a tau number, because it is divible by the number of its divisors (1050).

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=126000.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 104 ways as a sum of consecutive naturals, for example, 4535999997 + ... + 4536000003.

Almost surely, 2^31752000000 is an apocalyptic number.

31752000000 is a gapful number since it is divisible by the number (30) 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 31752000000

31752000000 is an abundant number, since it is smaller than the sum of its proper divisors (106051529061).

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

31752000000 is an frugal number, since it uses more digits than its factorization.

31752000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 18.

Multiplying 31752000000 by its sum of digits (18), we get a square (571536000000 = 756000²).

31752000000 divided by its sum of digits (18) gives a square (1764000000 = 42000²).

Adding to 31752000000 its reverse (25713), we get a palindrome (31752025713).

The spelling of 31752000000 in words is "thirty-one billion, seven hundred fifty-two million", and thus it is an aban number.