253561165352 has 32 divisors (see below), whose sum is σ = 518667943680. Its totient is φ = 115250607360.

The previous prime is 253561165327. The next prime is 253561165357.

253561165352 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (253561165357) 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 7 ways as a sum of consecutive naturals, for example, 3522473 + ... + 3593735.

It is an arithmetic number, because the mean of its divisors is an integer number (16208373240).

Almost surely, 2^253561165352 is an apocalyptic number.

253561165352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

253561165352 is an abundant number, since it is smaller than the sum of its proper divisors (265106778328).

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

253561165352 is a wasteful number, since it uses less digits than its factorization.

253561165352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111713 (or 111709 counting only the distinct ones).

The product of its digits is 810000, while the sum is 44.

The spelling of 253561165352 in words is "two hundred fifty-three billion, five hundred sixty-one million, one hundred sixty-five thousand, three hundred fifty-two".