253513305513 has 48 divisors (see below), whose sum is σ = 414225686784. Its totient is φ = 148236739200.

The previous prime is 253513305413. The next prime is 253513305517. The reversal of 253513305513 is 315503315352.

253513305513 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 133 + 0 + 5 + 513 = 666.

It is not a de Polignac number, because 253513305513 - 2¹² = 253513301417 is a prime.

It is not an unprimeable number, because it can be changed into a prime (253513305517) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 94395 + ... + 718287.

It is an arithmetic number, because the mean of its divisors is an integer number (8629701808).

Almost surely, 2^253513305513 is an apocalyptic number.

253513305513 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

253513305513 is a deficient number, since it is larger than the sum of its proper divisors (160712381271).

253513305513 is a wasteful number, since it uses less digits than its factorization.

253513305513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624086 (or 624083 counting only the distinct ones).

The product of its (nonzero) digits is 101250, while the sum is 36.

The spelling of 253513305513 in words is "two hundred fifty-three billion, five hundred thirteen million, three hundred five thousand, five hundred thirteen".