252234623010500 has 48 divisors (see below), whose sum is σ = 593255833335984. Its totient is φ = 93132783878400.

The previous prime is 252234623010473. The next prime is 252234623010563. The reversal of 252234623010500 is 5010326432252.

It can be written as a sum of positive squares in 8 ways, for example, as 152233943009344 + 100000680001156 = 12338312^2 + 10000034^2 .

It is a super-2 number, since 2×252234623010500² (a number of 30 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19402656809 + ... + 19402669808.

It is an arithmetic number, because the mean of its divisors is an integer number (12359496527833).

Almost surely, 2^{252234623010500} is an apocalyptic number.

252234623010500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252234623010500 is an abundant number, since it is smaller than the sum of its proper divisors (341021210325484).

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

252234623010500 is a wasteful number, since it uses less digits than its factorization.

252234623010500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38805326649 (or 38805326637 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 252234623010500 its reverse (5010326432252), we get a palindrome (257244949442752).

The spelling of 252234623010500 in words is "two hundred fifty-two trillion, two hundred thirty-four billion, six hundred twenty-three million, ten thousand, five hundred".