51609416 has 32 divisors (see below), whose sum is σ = 104156280. Its totient is φ = 23884800.

The previous prime is 51609391. The next prime is 51609419. The reversal of 51609416 is 61490615.

It can be written as a sum of positive squares in 4 ways, for example, as 22944100 + 28665316 = 4790^2 + 5354^2 .

It is a super-2 number, since 2×51609416² = 5327063639722112, which contains 22 as substring.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (51609419) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5186 + ... + 11406.

Almost surely, 2^51609416 is an apocalyptic number.

51609416 is the 4148-th octagonal number.

It is an amenable number.

51609416 is an abundant number, since it is smaller than the sum of its proper divisors (52546864).

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

51609416 is a wasteful number, since it uses less digits than its factorization.

51609416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6305 (or 6301 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The square root of 51609416 is about 7183.9693763267. The cubic root of 51609416 is about 372.3142409693.

It can be divided in two parts, 51609 and 416, that added together give a palindrome (52025).

The spelling of 51609416 in words is "fifty-one million, six hundred nine thousand, four hundred sixteen".