514052352 has 144 divisors (see below), whose sum is σ = 1658583360. Its totient is φ = 155750400.

The previous prime is 514052333. The next prime is 514052381. The reversal of 514052352 is 253250415.

It is a happy number.

514052352 is a `hidden beast` number, since 51 + 40 + 523 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 72652 + ... + 79412.

It is an arithmetic number, because the mean of its divisors is an integer number (11517940).

Almost surely, 2^514052352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 514052352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829291680).

514052352 is an abundant number, since it is smaller than the sum of its proper divisors (1144531008).

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

514052352 is a wasteful number, since it uses less digits than its factorization.

514052352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6797 (or 6777 counting only the distinct ones).

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

The square root of 514052352 is about 22672.7226419766. The cubic root of 514052352 is about 801.0675082325.

The spelling of 514052352 in words is "five hundred fourteen million, fifty-two thousand, three hundred fifty-two".