1682252550 has 288 divisors, whose sum is σ = 5254913664. Its totient is φ = 396576000.

The previous prime is 1682252521. The next prime is 1682252557. The reversal of 1682252550 is 552522861.

It is a happy number.

1682252550 is a `hidden beast` number, since 1 + 6 + 82 + 2 + 525 + 50 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1682252557) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5479497 + ... + 5479803.

It is an arithmetic number, because the mean of its divisors is an integer number (18246228).

Almost surely, 2^1682252550 is an apocalyptic number.

1682252550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1682252550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2627456832).

1682252550 is an abundant number, since it is smaller than the sum of its proper divisors (3572661114).

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

1682252550 is a wasteful number, since it uses less digits than its factorization.

1682252550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The square root of 1682252550 is about 41015.2721556252. The cubic root of 1682252550 is about 1189.3154620546.

The spelling of 1682252550 in words is "one billion, six hundred eighty-two million, two hundred fifty-two thousand, five hundred fifty".