253058160 has 80 divisors (see below), whose sum is σ = 786333600. Its totient is φ = 67322880.

The previous prime is 253058153. The next prime is 253058161. The reversal of 253058160 is 61850352.

253058160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253058161) 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, 128866 + ... + 130814.

It is an arithmetic number, because the mean of its divisors is an integer number (9829170).

Almost surely, 2^253058160 is an apocalyptic number.

253058160 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 253058160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (393166800).

253058160 is an abundant number, since it is smaller than the sum of its proper divisors (533275440).

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

253058160 is a wasteful number, since it uses less digits than its factorization.

253058160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2506 (or 2500 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 253058160 is about 15907.8018594651. The cubic root of 253058160 is about 632.5188150235.

The spelling of 253058160 in words is "two hundred fifty-three million, fifty-eight thousand, one hundred sixty".