253351725750 has 256 divisors, whose sum is σ = 721363968000. Its totient is φ = 65774332800.

The previous prime is 253351725749. The next prime is 253351725751. The reversal of 253351725750 is 57527153352.

253351725750 is a `hidden beast` number, since 2 + 5 + 3 + 3 + 5 + 1 + 72 + 575 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (253351725749) and next prime (253351725751).

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 = 253351725696 and 253351725705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253351725751) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 63130744 + ... + 63134756.

It is an arithmetic number, because the mean of its divisors is an integer number (2817828000).

Almost surely, 2^253351725750 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253351725750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360681984000).

253351725750 is an abundant number, since it is smaller than the sum of its proper divisors (468012242250).

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

253351725750 is a wasteful number, since it uses less digits than its factorization.

253351725750 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4285 (or 4269 counting only the distinct ones).

The product of its (nonzero) digits is 1102500, while the sum is 45.

The spelling of 253351725750 in words is "two hundred fifty-three billion, three hundred fifty-one million, seven hundred twenty-five thousand, seven hundred fifty".