1257309613924 has 216 divisors, whose sum is σ = 2887589637240. Its totient is φ = 474760839168.

The previous prime is 1257309613853. The next prime is 1257309613943. The reversal of 1257309613924 is 4293169037521.

It can be written as a sum of positive squares in 4 ways, for example, as 27499588900 + 1229810025024 = 165830^2 + 1108968^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1036528342 + ... + 1036529554.

Almost surely, 2^{1257309613924} is an apocalyptic number.

1257309613924 is a gapful number since it is divisible by the number (14) 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 1257309613924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1443794818620).

1257309613924 is an abundant number, since it is smaller than the sum of its proper divisors (1630280023316).

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

1257309613924 is a wasteful number, since it uses less digits than its factorization.

1257309613924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2059 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 52.

The spelling of 1257309613924 in words is "one trillion, two hundred fifty-seven billion, three hundred nine million, six hundred thirteen thousand, nine hundred twenty-four".