51161400 has 144 divisors (see below), whose sum is σ = 176078760. Its totient is φ = 13305600.

The previous prime is 51161387. The next prime is 51161413. The reversal of 51161400 is 416115.

51161400 is a `hidden beast` number, since 51 + 1 + 614 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (51161387) and next prime (51161413).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

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 35 ways as a sum of consecutive naturals, for example, 77070 + ... + 77730.

Almost surely, 2^51161400 is an apocalyptic number.

51161400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51161400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88039380).

51161400 is an abundant number, since it is smaller than the sum of its proper divisors (124917360).

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

51161400 is a wasteful number, since it uses less digits than its factorization.

51161400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 51161400 is about 7152.7197624400. The cubic root of 51161400 is about 371.2337679534.

Adding to 51161400 its reverse (416115), we get a palindrome (51577515).

The spelling of 51161400 in words is "fifty-one million, one hundred sixty-one thousand, four hundred".