1258545141315 has 288 divisors, whose sum is σ = 2836950724608. Its totient is φ = 504696614400.

The previous prime is 1258545141263. The next prime is 1258545141331. The reversal of 1258545141315 is 5131415458521.

1258545141315 is a `hidden beast` number, since 1 + 2 + 58 + 54 + 514 + 1 + 31 + 5 = 666.

It is not a de Polignac number, because 1258545141315 - 2⁷ = 1258545141187 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 469079964 + ... + 469082646.

Almost surely, 2^{1258545141315} is an apocalyptic number.

1258545141315 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

1258545141315 is an abundant number, since it is smaller than the sum of its proper divisors (1578405583293).

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

1258545141315 is a wasteful number, since it uses less digits than its factorization.

1258545141315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3151 (or 3137 counting only the distinct ones).

The product of its digits is 480000, while the sum is 45.

The spelling of 1258545141315 in words is "one trillion, two hundred fifty-eight billion, five hundred forty-five million, one hundred forty-one thousand, three hundred fifteen".