514350252 has 72 divisors (see below), whose sum is σ = 1404997776. Its totient is φ = 157716864.

The previous prime is 514350251. The next prime is 514350323. The reversal of 514350252 is 252053415.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (514350251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 146623 + ... + 150089.

It is an arithmetic number, because the mean of its divisors is an integer number (19513858).

Almost surely, 2^514350252 is an apocalyptic number.

514350252 is a gapful number since it is divisible by the number (52) 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 514350252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702498888).

514350252 is an abundant number, since it is smaller than the sum of its proper divisors (890647524).

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

514350252 is a wasteful number, since it uses less digits than its factorization.

514350252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3807 (or 3802 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 514350252 is about 22679.2912587673. The cubic root of 514350252 is about 801.2222213511. Note that the first 5 decimals are identical.

The spelling of 514350252 in words is "five hundred fourteen million, three hundred fifty thousand, two hundred fifty-two".