412185626257 has 16 divisors (see below), whose sum is σ = 424439365392. Its totient is φ = 399991737600.

The previous prime is 412185626249. The next prime is 412185626273. The reversal of 412185626257 is 752626581214.

It can be written as a sum of positive squares in 8 ways, for example, as 178312797441 + 233872828816 = 422271^2 + 483604^2 .

It is a cyclic number.

It is not a de Polignac number, because 412185626257 - 2³ = 412185626249 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 412185626257.

It is not an unprimeable number, because it can be changed into a prime (412185621257) 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, 26804623 + ... + 26819995.

It is an arithmetic number, because the mean of its divisors is an integer number (26527460337).

Almost surely, 2^412185626257 is an apocalyptic number.

It is an amenable number.

412185626257 is a deficient number, since it is larger than the sum of its proper divisors (12253739135).

412185626257 is a wasteful number, since it uses less digits than its factorization.

412185626257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17268.

The product of its digits is 1612800, while the sum is 49.

The spelling of 412185626257 in words is "four hundred twelve billion, one hundred eighty-five million, six hundred twenty-six thousand, two hundred fifty-seven".