51858090 has 128 divisors (see below), whose sum is σ = 147744000. Its totient is φ = 12918528.

The previous prime is 51858047. The next prime is 51858161. The reversal of 51858090 is 9085815.

51858090 = T₃₉₆ + T₃₉₇ + ... + T₇₁₉.

51858090 is a `hidden beast` number, since 518 + 58 + 0 + 90 = 666.

51858090 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×51858090² = 5378522996896200, which contains 22 as substring.

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 63 ways as a sum of consecutive naturals, for example, 289621 + ... + 289799.

It is an arithmetic number, because the mean of its divisors is an integer number (1154250).

Almost surely, 2^51858090 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51858090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73872000).

51858090 is an abundant number, since it is smaller than the sum of its proper divisors (95885910).

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

51858090 is a wasteful number, since it uses less digits than its factorization.

51858090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 51858090 is about 7201.2561404244. The cubic root of 51858090 is about 372.9112674575.

The spelling of 51858090 in words is "fifty-one million, eight hundred fifty-eight thousand, ninety".