252582280753 has 16 divisors (see below), whose sum is σ = 283284046080. Its totient is φ = 223210915200.

The previous prime is 252582280697. The next prime is 252582280763. The reversal of 252582280753 is 357082285252.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-252582280753 is a prime.

It is a super-3 number, since 3×252582280753³ (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 252582280697 and 252582280706.

It is not an unprimeable number, because it can be changed into a prime (252582280763) 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, 885993 + ... + 1135846.

It is an arithmetic number, because the mean of its divisors is an integer number (17705252880).

Almost surely, 2^252582280753 is an apocalyptic number.

It is an amenable number.

252582280753 is a deficient number, since it is larger than the sum of its proper divisors (30701765327).

252582280753 is a wasteful number, since it uses less digits than its factorization.

252582280753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022168.

The product of its (nonzero) digits is 2688000, while the sum is 49.

It can be divided in two parts, 252582 and 280753, that added together give a palindrome (533335).

The spelling of 252582280753 in words is "two hundred fifty-two billion, five hundred eighty-two million, two hundred eighty thousand, seven hundred fifty-three".