252259080516 has 189 divisors, whose sum is σ = 676494602959. Its totient is φ = 82269205200.

The previous prime is 252259080457. The next prime is 252259080533. The reversal of 252259080516 is 615080952252.

The square root of 252259080516 is 502254.

It is a perfect power (a square), and thus also a powerful number.

252259080516 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 59 + 0 + 80 + 516 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 1925641771 + ... + 1925641901.

Almost surely, 2^252259080516 is an apocalyptic number.

252259080516 is the 502254-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252259080516

252259080516 is an abundant number, since it is smaller than the sum of its proper divisors (424235522443).

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

252259080516 is an frugal number, since it uses more digits than its factorization.

252259080516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 252259080516 in words is "two hundred fifty-two billion, two hundred fifty-nine million, eighty thousand, five hundred sixteen".