51357120 has 112 divisors (see below), whose sum is σ = 165920928. Its totient is φ = 13455360.

The previous prime is 51357113. The next prime is 51357157. The reversal of 51357120 is 2175315.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent 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, 58122 + ... + 58998.

Almost surely, 2^51357120 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 51357120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82960464).

51357120 is an abundant number, since it is smaller than the sum of its proper divisors (114563808).

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

51357120 is a wasteful number, since it uses less digits than its factorization.

51357120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 958 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 1050, while the sum is 24.

The square root of 51357120 is about 7166.3882116447. The cubic root of 51357120 is about 371.7065554950.

It can be divided in two parts, 513571 and 20, that added together give a triangular number (513591 = T₁₀₁₃).

The spelling of 51357120 in words is "fifty-one million, three hundred fifty-seven thousand, one hundred twenty".