851315520 has 224 divisors, whose sum is σ = 3104570880. Its totient is φ = 195471360.

The previous prime is 851315471. The next prime is 851315533. The reversal of 851315520 is 25513158.

It is a super-2 number, since 2×851315520² = 1449476229185740800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 31 ways as a sum of consecutive naturals, for example, 198519 + ... + 202761.

Almost surely, 2^851315520 is an apocalyptic number.

851315520 is a gapful number since it is divisible by the number (80) 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 851315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552285440).

851315520 is an abundant number, since it is smaller than the sum of its proper divisors (2253255360).

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

851315520 is a wasteful number, since it uses less digits than its factorization.

851315520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4293 (or 4283 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

The square root of 851315520 is about 29177.3117336056. The cubic root of 851315520 is about 947.7566716906.

Adding to 851315520 its reverse (25513158), we get a palindrome (876828678).

The spelling of 851315520 in words is "eight hundred fifty-one million, three hundred fifteen thousand, five hundred twenty".