514733253372 has 144 divisors (see below), whose sum is σ = 1424159755200. Its totient is φ = 155796480000.

The previous prime is 514733253367. The next prime is 514733253401. The reversal of 514733253372 is 273352337415.

514733253372 is a `hidden beast` number, since 5 + 1 + 47 + 3 + 3 + 2 + 533 + 72 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14902122 + ... + 14936622.

It is an arithmetic number, because the mean of its divisors is an integer number (9889998300).

Almost surely, 2^514733253372 is an apocalyptic number.

514733253372 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 514733253372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712079877600).

514733253372 is an abundant number, since it is smaller than the sum of its proper divisors (909426501828).

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

514733253372 is a wasteful number, since it uses less digits than its factorization.

514733253372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35044 (or 35039 counting only the distinct ones).

The product of its digits is 1587600, while the sum is 45.

The spelling of 514733253372 in words is "five hundred fourteen billion, seven hundred thirty-three million, two hundred fifty-three thousand, three hundred seventy-two".