514213606152 has 256 divisors, whose sum is σ = 1557571680000. Its totient is φ = 156638085120.

The previous prime is 514213606141. The next prime is 514213606157. The reversal of 514213606152 is 251606312415.

514213606152 is a `hidden beast` number, since 5 + 1 + 4 + 2 + 1 + 36 + 0 + 615 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (514213606157) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14958328 + ... + 14992664.

It is an arithmetic number, because the mean of its divisors is an integer number (6084264375).

Almost surely, 2^514213606152 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 514213606152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (778785840000).

514213606152 is an abundant number, since it is smaller than the sum of its proper divisors (1043358073848).

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

514213606152 is a wasteful number, since it uses less digits than its factorization.

514213606152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34501 (or 34491 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 514213606152 its reverse (251606312415), we get a palindrome (765819918567).

The spelling of 514213606152 in words is "five hundred fourteen billion, two hundred thirteen million, six hundred six thousand, one hundred fifty-two".