3906531125 has 48 divisors (see below), whose sum is σ = 5749673904. Its totient is φ = 2641766400.

The previous prime is 3906531113. The next prime is 3906531131. The reversal of 3906531125 is 5211356093.

It can be written as a sum of positive squares in 8 ways, for example, as 1367076676 + 2539454449 = 36974^2 + 50393^2 .

It is not a de Polignac number, because 3906531125 - 2²⁰ = 3905482549 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442757 + ... + 451493.

It is an arithmetic number, because the mean of its divisors is an integer number (119784873).

Almost surely, 2^3906531125 is an apocalyptic number.

3906531125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3906531125 is a deficient number, since it is larger than the sum of its proper divisors (1843142779).

3906531125 is an equidigital number, since it uses as much as digits as its factorization.

3906531125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8839 (or 8822 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 35.

The square root of 3906531125 is about 62502.2489595374. The cubic root of 3906531125 is about 1574.9390922948.

The spelling of 3906531125 in words is "three billion, nine hundred six million, five hundred thirty-one thousand, one hundred twenty-five".