51090 has 32 divisors (see below), whose sum is σ = 133056. Its totient is φ = 12480.

The previous prime is 51071. The next prime is 51109. The reversal of 51090 is 9015.

51090 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (51071) and next prime (51109).

It is a super-2 number, since 2×51090² = 5220376200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 325 + ... + 455.

It is an arithmetic number, because the mean of its divisors is an integer number (4158).

2⁵¹⁰⁹⁰ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51090, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66528).

51090 is an abundant number, since it is smaller than the sum of its proper divisors (81966).

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

51090 is a wasteful number, since it uses less digits than its factorization.

51090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154.

The product of its (nonzero) digits is 45, while the sum is 15.

The square root of 51090 is about 226.0309713292. The cubic root of 51090 is about 37.1060991661.

The spelling of 51090 in words is "fifty-one thousand, ninety".