51252150600 has 576 divisors, whose sum is σ = 206686771200. Its totient is φ = 11560423680.

The previous prime is 51252150559. The next prime is 51252150601. The reversal of 51252150600 is 605125215.

51252150600 is a `hidden beast` number, since 5 + 1 + 2 + 5 + 2 + 1 + 50 + 600 = 666.

It is a super-2 number, since 2×51252150600² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (51252150601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 26874847 + ... + 26876753.

It is an arithmetic number, because the mean of its divisors is an integer number (358831200).

Almost surely, 2^51252150600 is an apocalyptic number.

51252150600 is a gapful number since it is divisible by the number (50) 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 51252150600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103343385600).

51252150600 is an abundant number, since it is smaller than the sum of its proper divisors (155434620600).

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

51252150600 is a wasteful number, since it uses less digits than its factorization.

51252150600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2024 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 51252150600 its reverse (605125215), we get a palindrome (51857275815).

It can be divided in two parts, 51252150 and 600, that added together give a triangular number (51252750 = T₁₀₁₂₄).

The spelling of 51252150600 in words is "fifty-one billion, two hundred fifty-two million, one hundred fifty thousand, six hundred".