51177120 has 48 divisors (see below), whose sum is σ = 161209440. Its totient is φ = 13647104.

The previous prime is 51177107. The next prime is 51177151. The reversal of 51177120 is 2177115.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×51177120² = 5238195222988800, which contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52830 + ... + 53789.

It is an arithmetic number, because the mean of its divisors is an integer number (3358530).

Almost surely, 2^51177120 is an apocalyptic number.

It is an amenable number.

51177120 is an abundant number, since it is smaller than the sum of its proper divisors (110032320).

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

51177120 is a wasteful number, since it uses less digits than its factorization.

51177120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106637 (or 106629 counting only the distinct ones).

The product of its (nonzero) digits is 490, while the sum is 24.

The square root of 51177120 is about 7153.8185607408. The cubic root of 51177120 is about 371.2717861808.

The spelling of 51177120 in words is "fifty-one million, one hundred seventy-seven thousand, one hundred twenty".