4057125765 has 168 divisors, whose sum is σ = 8762486880. Its totient is φ = 1597337280.

The previous prime is 4057125757. The next prime is 4057125773. The reversal of 4057125765 is 5675217504.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (4057125757) and next prime (4057125773).

It is not a de Polignac number, because 4057125765 - 2³ = 4057125757 is a prime.

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 (17) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 213532926 + ... + 213532944.

It is an arithmetic number, because the mean of its divisors is an integer number (52157660).

Almost surely, 2^4057125765 is an apocalyptic number.

It is an amenable number.

4057125765 is an abundant number, since it is smaller than the sum of its proper divisors (4705361115).

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

4057125765 is an frugal number, since it uses more digits than its factorization.

4057125765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 42.

The square root of 4057125765 is about 63695.5709998741. The cubic root of 4057125765 is about 1594.9221523638.

The spelling of 4057125765 in words is "four billion, fifty-seven million, one hundred twenty-five thousand, seven hundred sixty-five".