51523503210 has 192 divisors, whose sum is σ = 141158777760. Its totient is φ = 13025525760.

The previous prime is 51523503193. The next prime is 51523503211. The reversal of 51523503210 is 1230532515.

It is a happy number.

51523503210 is a `hidden beast` number, since 5 + 152 + 3 + 503 + 2 + 1 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 14844741921 + 36678761289 = 121839^2 + 191517^2 .

It is a super-3 number, since 3×51523503210³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (51523503211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 21315922 + ... + 21318338.

Almost surely, 2^51523503210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51523503210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70579388880).

51523503210 is an abundant number, since it is smaller than the sum of its proper divisors (89635274550).

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

51523503210 is a wasteful number, since it uses less digits than its factorization.

51523503210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2633 (or 2630 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 51523503210 in words is "fifty-one billion, five hundred twenty-three million, five hundred three thousand, two hundred ten".