51977280 has 112 divisors (see below), whose sum is σ = 170809920. Its totient is φ = 13375488.

The previous prime is 51977273. The next prime is 51977287. The reversal of 51977280 is 8277915.

It is an interprime number because it is at equal distance from previous prime (51977273) and next prime (51977287).

It is not an unprimeable number, because it can be changed into a prime (51977287) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 26907 + ... + 28773.

Almost surely, 2^51977280 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 51977280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85404960).

51977280 is an abundant number, since it is smaller than the sum of its proper divisors (118832640).

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

51977280 is a wasteful number, since it uses less digits than its factorization.

51977280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 39.

The square root of 51977280 is about 7209.5270302566. The cubic root of 51977280 is about 373.1967470873.

The spelling of 51977280 in words is "fifty-one million, nine hundred seventy-seven thousand, two hundred eighty".