51057930 has 192 divisors, whose sum is σ = 164726784. Its totient is φ = 9820800.

The previous prime is 51057913. The next prime is 51057931. The reversal of 51057930 is 3975015.

51057930 = 776² + 777² + ... + 852².

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (51057931) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1647015 + ... + 1647045.

It is an arithmetic number, because the mean of its divisors is an integer number (857952).

Almost surely, 2^51057930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51057930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82363392).

51057930 is an abundant number, since it is smaller than the sum of its proper divisors (113668854).

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

51057930 is a wasteful number, since it uses less digits than its factorization.

51057930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 4725, while the sum is 30.

The square root of 51057930 is about 7145.4831887004. The cubic root of 51057930 is about 370.9833351276.

The spelling of 51057930 in words is "fifty-one million, fifty-seven thousand, nine hundred thirty".