253451350410020 has 144 divisors (see below), whose sum is σ = 619809047223408. Its totient is φ = 86804518993920.

The previous prime is 253451350410001. The next prime is 253451350410043. The reversal of 253451350410020 is 20014053154352.

It can be written as a sum of positive squares in 8 ways, for example, as 19735255383844 + 233716095026176 = 4442438^2 + 15287776^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3534209684 + ... + 3534281396.

It is an arithmetic number, because the mean of its divisors is an integer number (4304229494607).

Almost surely, 2^{253451350410020} is an apocalyptic number.

253451350410020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253451350410020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309904523611704).

253451350410020 is an abundant number, since it is smaller than the sum of its proper divisors (366357696813388).

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

253451350410020 is a wasteful number, since it uses less digits than its factorization.

253451350410020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75550 (or 75541 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 35.

The spelling of 253451350410020 in words is "two hundred fifty-three trillion, four hundred fifty-one billion, three hundred fifty million, four hundred ten thousand, twenty".