382155753825 has 36 divisors (see below), whose sum is σ = 724747154508. Its totient is φ = 191827200000.

The previous prime is 382155753797. The next prime is 382155753827. The reversal of 382155753825 is 528357551283.

382155753825 is a `hidden beast` number, since 3 + 8 + 2 + 1 + 557 + 5 + 3 + 82 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 183548304 + 381972205521 = 13548^2 + 618039^2 .

It is not a de Polignac number, because 382155753825 - 2⁶ = 382155753761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (382155753827) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 49951176 + ... + 49958825.

It is an arithmetic number, because the mean of its divisors is an integer number (20131865403).

Almost surely, 2^382155753825 is an apocalyptic number.

It is an amenable number.

382155753825 is a deficient number, since it is larger than the sum of its proper divisors (342591400683).

382155753825 is a wasteful number, since it uses less digits than its factorization.

382155753825 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99910034 (or 99910026 counting only the distinct ones).

The product of its digits is 10080000, while the sum is 54.

The spelling of 382155753825 in words is "three hundred eighty-two billion, one hundred fifty-five million, seven hundred fifty-three thousand, eight hundred twenty-five".