51157624 has 96 divisors (see below), whose sum is σ = 121572000. Its totient is φ = 19740672.

The previous prime is 51157621. The next prime is 51157669. The reversal of 51157624 is 42675115.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51157621) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 469282 + ... + 469390.

It is an arithmetic number, because the mean of its divisors is an integer number (1266375).

Almost surely, 2^51157624 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 51157624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60786000).

51157624 is an abundant number, since it is smaller than the sum of its proper divisors (70414376).

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

51157624 is a wasteful number, since it uses less digits than its factorization.

51157624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 164 counting only the distinct ones).

The product of its digits is 8400, while the sum is 31.

The square root of 51157624 is about 7152.4558020305. The cubic root of 51157624 is about 371.2246346797.

The spelling of 51157624 in words is "fifty-one million, one hundred fifty-seven thousand, six hundred twenty-four".