253461054320 has 80 divisors (see below), whose sum is σ = 621258361920. Its totient is φ = 95976579072.

The previous prime is 253461054317. The next prime is 253461054323. The reversal of 253461054320 is 23450164352.

It is an interprime number because it is at equal distance from previous prime (253461054317) and next prime (253461054323).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253461054323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 531575 + ... + 888534.

It is an arithmetic number, because the mean of its divisors is an integer number (7765729524).

Almost surely, 2^253461054320 is an apocalyptic number.

253461054320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253461054320 is an abundant number, since it is smaller than the sum of its proper divisors (367797307600).

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

253461054320 is a wasteful number, since it uses less digits than its factorization.

253461054320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1420242 (or 1420236 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 253461054320 in words is "two hundred fifty-three billion, four hundred sixty-one million, fifty-four thousand, three hundred twenty".