253461053520 has 120 divisors (see below), whose sum is σ = 852781410312. Its totient is φ = 67464576000.

The previous prime is 253461053519. The next prime is 253461053567. The reversal of 253461053520 is 25350164352.

253461053520 is a `hidden beast` number, since 2 + 5 + 3 + 4 + 610 + 5 + 35 + 2 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2856688704 + 250604364816 = 53448^2 + 500604^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64170 + ... + 714870.

Almost surely, 2^253461053520 is an apocalyptic number.

253461053520 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 253461053520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426390705156).

253461053520 is an abundant number, since it is smaller than the sum of its proper divisors (599320356792).

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

253461053520 is a wasteful number, since it uses less digits than its factorization.

253461053520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 651261 (or 651252 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 253461053520 in words is "two hundred fifty-three billion, four hundred sixty-one million, fifty-three thousand, five hundred twenty".