51023952 has 160 divisors (see below), whose sum is σ = 171417600. Its totient is φ = 14228352.

The previous prime is 51023939. The next prime is 51024013. The reversal of 51023952 is 25932015.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 141949 + ... + 142307.

It is an arithmetic number, because the mean of its divisors is an integer number (1071360).

Almost surely, 2^51023952 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 51023952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85708800).

51023952 is an abundant number, since it is smaller than the sum of its proper divisors (120393648).

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

51023952 is a wasteful number, since it uses less digits than its factorization.

51023952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 51023952 is about 7143.1052071211. The cubic root of 51023952 is about 370.9010229450.

Adding to 51023952 its reverse (25932015), we get a palindrome (76955967).

The spelling of 51023952 in words is "fifty-one million, twenty-three thousand, nine hundred fifty-two".