253749947352 has 32 divisors (see below), whose sum is σ = 692045311680. Its totient is φ = 76893923360.

The previous prime is 253749947329. The next prime is 253749947359.

It is a happy number.

253749947352 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×253749947352² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253749947359) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480586758 + ... + 480587285.

It is an arithmetic number, because the mean of its divisors is an integer number (21626415990).

Almost surely, 2^253749947352 is an apocalyptic number.

253749947352 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

253749947352 is an abundant number, since it is smaller than the sum of its proper divisors (438295364328).

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

253749947352 is a wasteful number, since it uses less digits than its factorization.

253749947352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 961174063 (or 961174059 counting only the distinct ones).

The product of its digits is 57153600, while the sum is 60.

The spelling of 253749947352 in words is "two hundred fifty-three billion, seven hundred forty-nine million, nine hundred forty-seven thousand, three hundred fifty-two".