251545424545152 has 128 divisors (see below), whose sum is σ = 742497165756000. Its totient is φ = 83838446272512.

The previous prime is 251545424545147. The next prime is 251545424545157.

251545424545152 is a `hidden beast` number, since 2 + 5 + 1 + 5 + 4 + 5 + 42 + 4 + 545 + 1 + 52 = 666.

251545424545152 is nontrivially palindromic in base 10.

251545424545152 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 (251545424545147) and next prime (251545424545157).

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251545424545157) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24574768 + ... + 33271760.

Almost surely, 2^{251545424545152} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251545424545152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371248582878000).

251545424545152 is an abundant number, since it is smaller than the sum of its proper divisors (490951741210848).

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

251545424545152 is an equidigital number, since it uses as much as digits as its factorization.

251545424545152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8705385 (or 8705367 counting only the distinct ones).

The product of its digits is 32000000, while the sum is 54.

The spelling of 251545424545152 in words is "two hundred fifty-one trillion, five hundred forty-five billion, four hundred twenty-four million, five hundred forty-five thousand, one hundred fifty-two".