253145088 has 260 divisors, whose sum is σ = 872177680. Its totient is φ = 71663616.

The previous prime is 253145069. The next prime is 253145099. The reversal of 253145088 is 880541352.

It is a happy number.

253145088 is a `hidden beast` number, since 2 + 531 + 45 + 0 + 88 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2322378 + ... + 2322486.

Almost surely, 2^253145088 is an apocalyptic number.

253145088 is a gapful number since it is divisible by the number (28) 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 253145088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (436088840).

253145088 is an abundant number, since it is smaller than the sum of its proper divisors (619032592).

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

253145088 is an equidigital number, since it uses as much as digits as its factorization.

253145088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 253145088 is about 15910.5338691070. The cubic root of 253145088 is about 632.5912322377.

The spelling of 253145088 in words is "two hundred fifty-three million, one hundred forty-five thousand, eighty-eight".