253510511345 has 24 divisors (see below), whose sum is σ = 381101520744. Its totient is φ = 160463794176.

The previous prime is 253510511297. The next prime is 253510511347. The reversal of 253510511345 is 543115015352.

It can be written as a sum of positive squares in 4 ways, for example, as 3997274176 + 249513237169 = 63224^2 + 499513^2 .

It is not a de Polignac number, because 253510511345 - 2¹⁰ = 253510510321 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (253510511347) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 39794384 + ... + 39800753.

It is an arithmetic number, because the mean of its divisors is an integer number (15879230031).

Almost surely, 2^253510511345 is an apocalyptic number.

It is an amenable number.

253510511345 is a deficient number, since it is larger than the sum of its proper divisors (127591009399).

253510511345 is a wasteful number, since it uses less digits than its factorization.

253510511345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79595169 (or 79595162 counting only the distinct ones).

The product of its (nonzero) digits is 45000, while the sum is 35.

Adding to 253510511345 its reverse (543115015352), we get a palindrome (796625526697).

The spelling of 253510511345 in words is "two hundred fifty-three billion, five hundred ten million, five hundred eleven thousand, three hundred forty-five".