257256652752 has 320 divisors, whose sum is σ = 817417681920. Its totient is φ = 76813401600.

The previous prime is 257256652747. The next prime is 257256652753.

257256652752 is a `hidden beast` number, since 2 + 5 + 7 + 2 + 5 + 66 + 527 + 52 = 666.

257256652752 is nontrivially palindromic in base 10.

257256652752 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

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 (257256652753) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 219689127 + ... + 219690297.

It is an arithmetic number, because the mean of its divisors is an integer number (2554430256).

Almost surely, 2^257256652752 is an apocalyptic number.

257256652752 is a gapful number since it is divisible by the number (22) 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 257256652752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408708840960).

257256652752 is an abundant number, since it is smaller than the sum of its proper divisors (560161029168).

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

257256652752 is a wasteful number, since it uses less digits than its factorization.

257256652752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1839 (or 1827 counting only the distinct ones).

The product of its digits is 17640000, while the sum is 54.

The spelling of 257256652752 in words is "two hundred fifty-seven billion, two hundred fifty-six million, six hundred fifty-two thousand, seven hundred fifty-two".