252135345320 has 64 divisors (see below), whose sum is σ = 575245858320. Its totient is φ = 99443165184.

The previous prime is 252135345307. The next prime is 252135345323. The reversal of 252135345320 is 23543531252.

It can be written as a sum of positive squares in 8 ways, for example, as 144906603556 + 107228741764 = 380666^2 + 327458^2 .

It is not an unprimeable number, because it can be changed into a prime (252135345323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11707202 + ... + 11728718.

Almost surely, 2^252135345320 is an apocalyptic number.

252135345320 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 252135345320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287622929160).

252135345320 is an abundant number, since it is smaller than the sum of its proper divisors (323110513000).

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

252135345320 is a wasteful number, since it uses less digits than its factorization.

252135345320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25614 (or 25610 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 35.

Adding to 252135345320 its reverse (23543531252), we get a palindrome (275678876572).

The spelling of 252135345320 in words is "two hundred fifty-two billion, one hundred thirty-five million, three hundred forty-five thousand, three hundred twenty".