252045377730 has 160 divisors (see below), whose sum is σ = 718035373440. Its totient is φ = 63219018240.

The previous prime is 252045377707. The next prime is 252045377777. The reversal of 252045377730 is 37773540252.

It is a happy number.

252045377730 is a `hidden beast` number, since 2 + 5 + 204 + 5 + 377 + 73 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26585131 + ... + 26594609.

It is an arithmetic number, because the mean of its divisors is an integer number (4487721084).

Almost surely, 2^252045377730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252045377730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359017686720).

252045377730 is an abundant number, since it is smaller than the sum of its proper divisors (465989995710).

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

252045377730 is a wasteful number, since it uses less digits than its factorization.

252045377730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11446 (or 11437 counting only the distinct ones).

The product of its (nonzero) digits is 1234800, while the sum is 45.

The spelling of 252045377730 in words is "two hundred fifty-two billion, forty-five million, three hundred seventy-seven thousand, seven hundred thirty".