51429252 has 96 divisors (see below), whose sum is σ = 142813440. Its totient is φ = 14100480.

The previous prime is 51429251. The next prime is 51429253. The reversal of 51429252 is 25292415.

It is an interprime number because it is at equal distance from previous prime (51429251) and next prime (51429253).

It is a super-2 number, since 2×51429252² = 5289935922559008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (51429251) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 375328 + ... + 375464.

It is an arithmetic number, because the mean of its divisors is an integer number (1487640).

Almost surely, 2^51429252 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 51429252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71406720).

51429252 is an abundant number, since it is smaller than the sum of its proper divisors (91384188).

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

51429252 is a wasteful number, since it uses less digits than its factorization.

51429252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 299 counting only the distinct ones).

The product of its digits is 7200, while the sum is 30.

The square root of 51429252 is about 7171.4191064252. The cubic root of 51429252 is about 371.8804969364.

It can be divided in two parts, 51429 and 252, that added together give a triangular number (51681 = T₃₂₁).

The spelling of 51429252 in words is "fifty-one million, four hundred twenty-nine thousand, two hundred fifty-two".