1352858850 has 288 divisors, whose sum is σ = 4412289024. Its totient is φ = 290505600.

The previous prime is 1352858839. The next prime is 1352858863. The reversal of 1352858850 is 588582531.

1352858850 is a `hidden beast` number, since 13 + 5 + 2 + 8 + 588 + 50 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1352858796 and 1352858805.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5143819 + ... + 5144081.

It is an arithmetic number, because the mean of its divisors is an integer number (15320448).

Almost surely, 2^1352858850 is an apocalyptic number.

1352858850 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 1352858850, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2206144512).

1352858850 is an abundant number, since it is smaller than the sum of its proper divisors (3059430174).

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

1352858850 is a wasteful number, since it uses less digits than its factorization.

1352858850 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The square root of 1352858850 is about 36781.2295879298. The cubic root of 1352858850 is about 1105.9890546067.

The spelling of 1352858850 in words is "one billion, three hundred fifty-two million, eight hundred fifty-eight thousand, eight hundred fifty".