257154323451752 has 16 divisors (see below), whose sum is σ = 507541427865600. Its totient is φ = 121809942687600.

The previous prime is 257154323451719. The next prime is 257154323451757.

It is a happy number.

257154323451752 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×257154323451752² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (257154323451757) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 845902379624 + ... + 845902379927.

It is an arithmetic number, because the mean of its divisors is an integer number (31721339241600).

Almost surely, 2^{257154323451752} is an apocalyptic number.

It is an amenable number.

257154323451752 is a deficient number, since it is larger than the sum of its proper divisors (250387104413848).

257154323451752 is a wasteful number, since it uses less digits than its factorization.

257154323451752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691804759576 (or 1691804759572 counting only the distinct ones).

The product of its digits is 35280000, while the sum is 56.

The spelling of 257154323451752 in words is "two hundred fifty-seven trillion, one hundred fifty-four billion, three hundred twenty-three million, four hundred fifty-one thousand, seven hundred fifty-two".