251214412152 has 64 divisors (see below), whose sum is σ = 685201829760. Its totient is φ = 76117622400.

The previous prime is 251214412151. The next prime is 251214412201.

251214412152 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×251214412152² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251214412151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2786502 + ... + 2875242.

It is an arithmetic number, because the mean of its divisors is an integer number (10706278590).

Almost surely, 2^251214412152 is an apocalyptic number.

251214412152 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

251214412152 is an abundant number, since it is smaller than the sum of its proper divisors (433987417608).

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

251214412152 is a wasteful number, since it uses less digits than its factorization.

251214412152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99484 (or 99480 counting only the distinct ones).

The product of its digits is 6400, while the sum is 30.

It can be divided in two parts, 251214 and 412152, that added together give a palindrome (663366).

The spelling of 251214412152 in words is "two hundred fifty-one billion, two hundred fourteen million, four hundred twelve thousand, one hundred fifty-two".