51377584 has 40 divisors (see below), whose sum is σ = 104680800. Its totient is φ = 24380928.

The previous prime is 51377569. The next prime is 51377593. The reversal of 51377584 is 48577315.

It is a super-2 number, since 2×51377584² = 5279312275354112, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54364 + ... + 55300.

It is an arithmetic number, because the mean of its divisors is an integer number (2617020).

Almost surely, 2^51377584 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 51377584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52340400).

51377584 is an abundant number, since it is smaller than the sum of its proper divisors (53303216).

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

51377584 is a wasteful number, since it uses less digits than its factorization.

51377584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1117 (or 1111 counting only the distinct ones).

The product of its digits is 117600, while the sum is 40.

The square root of 51377584 is about 7167.8158458487. The cubic root of 51377584 is about 371.7559195874.

It can be divided in two parts, 5137 and 7584, that added together give a palindrome (12721).

The spelling of 51377584 in words is "fifty-one million, three hundred seventy-seven thousand, five hundred eighty-four".