253500503040 has 220 divisors, whose sum is σ = 908403961476. Its totient is φ = 67600023552.

The previous prime is 253500503029. The next prime is 253500503131. The reversal of 253500503040 is 40305005352.

253500503040 is a `hidden beast` number, since 2 + 5 + 350 + 0 + 5 + 0 + 304 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 193149702144 + 60350800896 = 439488^2 + 245664^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 253500502995 and 253500503013.

It is a congruent number.

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, 109092 + ... + 720348.

Almost surely, 2^253500503040 is an apocalyptic number.

253500503040 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 253500503040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454201980738).

253500503040 is an abundant number, since it is smaller than the sum of its proper divisors (654903458436).

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

253500503040 is an equidigital number, since it uses as much as digits as its factorization.

253500503040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 611294 (or 611267 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 27.

Adding to 253500503040 its reverse (40305005352), we get a palindrome (293805508392).

The spelling of 253500503040 in words is "two hundred fifty-three billion, five hundred million, five hundred three thousand, forty".