51189060 has 192 divisors, whose sum is σ = 167086080. Its totient is φ = 11612160.

The previous prime is 51189041. The next prime is 51189067. The reversal of 51189060 is 6098115.

51189060 = T₄₉₃ + T₄₉₄ + ... + T₇₅₂.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (51189067) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 701184 + ... + 701256.

It is an arithmetic number, because the mean of its divisors is an integer number (870240).

Almost surely, 2^51189060 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 51189060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83543040).

51189060 is an abundant number, since it is smaller than the sum of its proper divisors (115897020).

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

51189060 is a wasteful number, since it uses less digits than its factorization.

51189060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 51189060 is about 7154.6530314195. The cubic root of 51189060 is about 371.3006574187.

The spelling of 51189060 in words is "fifty-one million, one hundred eighty-nine thousand, sixty".