51132456 has 48 divisors (see below), whose sum is σ = 138820500. Its totient is φ = 17002752.

The previous prime is 51132451. The next prime is 51132493. The reversal of 51132456 is 65423115.

It can be written as a sum of positive squares in 2 ways, for example, as 35212356 + 15920100 = 5934^2 + 3990^2 .

It is a super-2 number, since 2×51132456² = 5229056113183872, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51132451) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48220 + ... + 49268.

Almost surely, 2^51132456 is an apocalyptic number.

It is an amenable number.

51132456 is an abundant number, since it is smaller than the sum of its proper divisors (87688044).

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

51132456 is a wasteful number, since it uses less digits than its factorization.

51132456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738 (or 1731 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 51132456 is about 7150.6961898825. The cubic root of 51132456 is about 371.1637476053.

It can be divided in two parts, 5113 and 2456, that added together give a square (7569 = 87²).

The spelling of 51132456 in words is "fifty-one million, one hundred thirty-two thousand, four hundred fifty-six".