257123524610040 has 128 divisors (see below), whose sum is σ = 864238284357120. Its totient is φ = 60648300633600.

The previous prime is 257123524610027. The next prime is 257123524610047. The reversal of 257123524610040 is 40016425321752.

It is a happy number.

It is a super-2 number, since 2×257123524610040² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 257123524609974 and 257123524610001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (257123524610047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2632255876 + ... + 2632353555.

It is an arithmetic number, because the mean of its divisors is an integer number (6751861596540).

Almost surely, 2^{257123524610040} is an apocalyptic number.

257123524610040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

257123524610040 is an abundant number, since it is smaller than the sum of its proper divisors (607114759747080).

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

257123524610040 is a wasteful number, since it uses less digits than its factorization.

257123524610040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5264609493 (or 5264609489 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

Adding to 257123524610040 its reverse (40016425321752), we get a palindrome (297139949931792).

The spelling of 257123524610040 in words is "two hundred fifty-seven trillion, one hundred twenty-three billion, five hundred twenty-four million, six hundred ten thousand, forty".