253532580 has 96 divisors (see below), whose sum is σ = 854031360. Its totient is φ = 54898560.

The previous prime is 253532579. The next prime is 253532581. The reversal of 253532580 is 85235352.

253532580 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (253532579) and next prime (253532581).

It is not an unprimeable number, because it can be changed into a prime (253532581) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7906 + ... + 23865.

It is an arithmetic number, because the mean of its divisors is an integer number (8896160).

Almost surely, 2^253532580 is an apocalyptic number.

253532580 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253532580 is an abundant number, since it is smaller than the sum of its proper divisors (600498780).

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

253532580 is a wasteful number, since it uses less digits than its factorization.

253532580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31809 (or 31807 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The square root of 253532580 is about 15922.7064282427. The cubic root of 253532580 is about 632.9138391646.

The spelling of 253532580 in words is "two hundred fifty-three million, five hundred thirty-two thousand, five hundred eighty".