1395875052 has 384 divisors, whose sum is σ = 4606156800. Its totient is φ = 359251200.

The previous prime is 1395875029. The next prime is 1395875057. The reversal of 1395875052 is 2505785931.

1395875052 is a `hidden beast` number, since 13 + 9 + 587 + 5 + 0 + 52 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1395874989 and 1395875007.

It is not an unprimeable number, because it can be changed into a prime (1395875057) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 19660177 + ... + 19660247.

It is an arithmetic number, because the mean of its divisors is an integer number (11995200).

Almost surely, 2^1395875052 is an apocalyptic number.

1395875052 is a gapful number since it is divisible by the number (12) 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 1395875052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2303078400).

1395875052 is an abundant number, since it is smaller than the sum of its proper divisors (3210281748).

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

1395875052 is a wasteful number, since it uses less digits than its factorization.

1395875052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 45.

The square root of 1395875052 is about 37361.4112688480. The cubic root of 1395875052 is about 1117.5891627429.

The spelling of 1395875052 in words is "one billion, three hundred ninety-five million, eight hundred seventy-five thousand, fifty-two".