51465120 has 288 divisors, whose sum is σ = 200527488. Its totient is φ = 10862592.

The previous prime is 51465119. The next prime is 51465121. The reversal of 51465120 is 2156415.

51465120 = 302² + 303² + ... + 566².

It is an interprime number because it is at equal distance from previous prime (51465119) and next prime (51465121).

It is a super-2 number, since 2×51465120² = 5297317153228800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (51465121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 971014 + ... + 971066.

It is an arithmetic number, because the mean of its divisors is an integer number (696276).

Almost surely, 2^51465120 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 51465120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100263744).

51465120 is an abundant number, since it is smaller than the sum of its proper divisors (149062368).

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

51465120 is a wasteful number, since it uses less digits than its factorization.

51465120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 51465120 is about 7173.9194308272. The cubic root of 51465120 is about 371.9669296535.

The spelling of 51465120 in words is "fifty-one million, four hundred sixty-five thousand, one hundred twenty".