1258457087925 has 96 divisors (see below), whose sum is σ = 2576655619200. Its totient is φ = 598448839680.

The previous prime is 1258457087917. The next prime is 1258457087929. The reversal of 1258457087925 is 5297807548521.

1258457087925 is a `hidden beast` number, since 1 + 2 + 58 + 4 + 570 + 8 + 7 + 9 + 2 + 5 = 666.

It is not a de Polignac number, because 1258457087925 - 2³ = 1258457087917 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1258457087929) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2668014 + ... + 3104063.

It is an arithmetic number, because the mean of its divisors is an integer number (26840162700).

Almost surely, 2^{1258457087925} is an apocalyptic number.

1258457087925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1258457087925 is an abundant number, since it is smaller than the sum of its proper divisors (1318198531275).

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

1258457087925 is a wasteful number, since it uses less digits than its factorization.

1258457087925 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5772132 (or 5772121 counting only the distinct ones).

The product of its (nonzero) digits is 56448000, while the sum is 63.

The spelling of 1258457087925 in words is "one trillion, two hundred fifty-eight billion, four hundred fifty-seven million, eighty-seven thousand, nine hundred twenty-five".