851828157 has 10 divisors (see below), whose sum is σ = 1272484158. Its totient is φ = 567885384.

The previous prime is 851828123. The next prime is 851828191. The reversal of 851828157 is 751828158.

851828157 is a `hidden beast` number, since 8 + 518 + 2 + 81 + 57 = 666.

It is an interprime number because it is at equal distance from previous prime (851828123) and next prime (851828191).

It can be written as a sum of positive squares in only one way, i.e., 538750521 + 313077636 = 23211^2 + 17694^2 .

It is not a de Polignac number, because 851828157 - 2⁶ = 851828093 is a prime.

It is a super-2 number, since 2×851828157² = 1451222418116033298, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (851828357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 5258118 + ... + 5258279.

Almost surely, 2^851828157 is an apocalyptic number.

It is an amenable number.

851828157 is a deficient number, since it is larger than the sum of its proper divisors (420656001).

851828157 is a wasteful number, since it uses less digits than its factorization.

851828157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10516409 (or 10516400 counting only the distinct ones).

The product of its digits is 179200, while the sum is 45.

The square root of 851828157 is about 29186.0952681238. The cubic root of 851828157 is about 947.9468705203.

Subtracting from 851828157 its reverse (751828158), we obtain a palindrome (99999999).

It can be divided in two parts, 85182 and 8157, that added together give a palindrome (93339).

The spelling of 851828157 in words is "eight hundred fifty-one million, eight hundred twenty-eight thousand, one hundred fifty-seven".