51180492 has 96 divisors (see below), whose sum is σ = 136249344. Its totient is φ = 14817600.

The previous prime is 51180487. The next prime is 51180499. The reversal of 51180492 is 29408115.

It is a happy number.

It is a super-2 number, since 2×51180492² = 5238885522724128, which contains 22 as substring.

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (51180499) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 402933 + ... + 403059.

It is an arithmetic number, because the mean of its divisors is an integer number (1419264).

Almost surely, 2^51180492 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51180492, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68124672).

51180492 is an abundant number, since it is smaller than the sum of its proper divisors (85068852).

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

51180492 is a wasteful number, since it uses less digits than its factorization.

51180492 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 51180492 is about 7154.0542351872. The cubic root of 51180492 is about 371.2799402216.

It can be divided in two parts, 511 and 80492, that added together give a triangular number (81003 = T₄₀₂).

The spelling of 51180492 in words is "fifty-one million, one hundred eighty thousand, four hundred ninety-two".