253525031354250 has 192 divisors, whose sum is σ = 687112563065760. Its totient is φ = 67450870656000.

The previous prime is 253525031354219. The next prime is 253525031354263. The reversal of 253525031354250 is 52453130525352.

253525031354250 is a `hidden beast` number, since 2 + 5 + 3 + 5 + 2 + 50 + 3 + 1 + 3 + 542 + 50 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 151256570446881 + 102268460907369 = 12298641^2 + 10112787^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 253525031354196 and 253525031354205.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3138072856 + ... + 3138153644.

Almost surely, 2^{253525031354250} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253525031354250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343556281532880).

253525031354250 is an abundant number, since it is smaller than the sum of its proper divisors (433587531711510).

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

253525031354250 is a wasteful number, since it uses less digits than its factorization.

253525031354250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84010 (or 83997 counting only the distinct ones).

The product of its (nonzero) digits is 2700000, while the sum is 45.

The spelling of 253525031354250 in words is "two hundred fifty-three trillion, five hundred twenty-five billion, thirty-one million, three hundred fifty-four thousand, two hundred fifty".