252263045000 has 60 divisors (see below), whose sum is σ = 591135537795. Its totient is φ = 100891012000.

The previous prime is 252263044961. The next prime is 252263045051. The reversal of 252263045000 is 540362252.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 3 ways, for example, as 58323216004 + 193939828996 = 241502^2 + 440386^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=355150.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 35511449 + ... + 35518551.

Almost surely, 2^252263045000 is an apocalyptic number.

252263045000 is a gapful number since it is divisible by the number (20) 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 252263045000

252263045000 is an abundant number, since it is smaller than the sum of its proper divisors (338872492795).

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

252263045000 is an frugal number, since it uses more digits than its factorization.

252263045000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14232 (or 7110 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

The spelling of 252263045000 in words is "two hundred fifty-two billion, two hundred sixty-three million, forty-five thousand".