1375825500 has 480 divisors, whose sum is σ = 5378300928. Its totient is φ = 299376000.

The previous prime is 1375825469. The next prime is 1375825531. The reversal of 1375825500 is 55285731.

1375825500 is a `hidden beast` number, since 1 + 3 + 75 + 82 + 5 + 500 = 666.

It is an interprime number because it is at equal distance from previous prime (1375825469) and next prime (1375825531).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 6520395 + ... + 6520605.

Almost surely, 2^1375825500 is an apocalyptic number.

1375825500 is a gapful number since it is divisible by the number (10) 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 1375825500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2689150464).

1375825500 is an abundant number, since it is smaller than the sum of its proper divisors (4002475428).

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

1375825500 is a wasteful number, since it uses less digits than its factorization.

1375825500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 272 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 42000, while the sum is 36.

The square root of 1375825500 is about 37092.1218050410. The cubic root of 1375825500 is about 1112.2125335617.

The spelling of 1375825500 in words is "one billion, three hundred seventy-five million, eight hundred twenty-five thousand, five hundred".