51119952 has 160 divisors (see below), whose sum is σ = 154990080. Its totient is φ = 14376960.

The previous prime is 51119951. The next prime is 51119987. The reversal of 51119952 is 25991115.

It is a happy number.

It is a super-2 number, since 2×51119952² = 5226498984964608, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51119951) 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, 647049 + ... + 647127.

It is an arithmetic number, because the mean of its divisors is an integer number (968688).

Almost surely, 2^51119952 is an apocalyptic number.

51119952 is a gapful number since it is divisible by the number (52) 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 51119952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77495040).

51119952 is an abundant number, since it is smaller than the sum of its proper divisors (103870128).

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

51119952 is a wasteful number, since it uses less digits than its factorization.

51119952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 175 counting only the distinct ones).

The product of its digits is 4050, while the sum is 33.

The square root of 51119952 is about 7149.8218159616. The cubic root of 51119952 is about 371.1334901770.

The spelling of 51119952 in words is "fifty-one million, one hundred nineteen thousand, nine hundred fifty-two".