250434434052 has 144 divisors (see below), whose sum is σ = 698671733760. Its totient is φ = 75004032000.

The previous prime is 250434434051. The next prime is 250434434057.

250434434052 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 250434433998 and 250434434016.

It is not an unprimeable number, because it can be changed into a prime (250434434051) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23712349 + ... + 23722907.

It is an arithmetic number, because the mean of its divisors is an integer number (4851887040).

Almost surely, 2^250434434052 is an apocalyptic number.

250434434052 is a gapful number since it is divisible by the number (22) 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 250434434052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349335866880).

250434434052 is an abundant number, since it is smaller than the sum of its proper divisors (448237299708).

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

250434434052 is a wasteful number, since it uses less digits than its factorization.

250434434052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11274 (or 11269 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

It can be divided in two parts, 250434 and 434052, that added together give a palindrome (684486).

The spelling of 250434434052 in words is "two hundred fifty billion, four hundred thirty-four million, four hundred thirty-four thousand, fifty-two".