51130368 has 156 divisors (see below), whose sum is σ = 157594840. Its totient is φ = 15925248.

The previous prime is 51130367. The next prime is 51130369. The reversal of 51130368 is 86303115.

It is an interprime number because it is at equal distance from previous prime (51130367) and next prime (51130369).

It is a super-2 number, since 2×51130368² = 5228629063630848, which contains 22 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51130361) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 700380 + ... + 700452.

Almost surely, 2^51130368 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 51130368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78797420).

51130368 is an abundant number, since it is smaller than the sum of its proper divisors (106464472).

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

51130368 is a wasteful number, since it uses less digits than its factorization.

51130368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 122 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 51130368 is about 7150.5501886219. The cubic root of 51130368 is about 371.1586953644.

The spelling of 51130368 in words is "fifty-one million, one hundred thirty thousand, three hundred sixty-eight".