1025607003993 has 144 divisors (see below), whose sum is σ = 1816694231040. Its totient is φ = 552105590400.

The previous prime is 1025607003983. The next prime is 1025607004013. The reversal of 1025607003993 is 3993007065201.

1025607003993 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 607 + 0 + 0 + 39 + 9 + 3 = 666.

It is not a de Polignac number, because 1025607003993 - 2¹⁰ = 1025607002969 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1025607003923) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 92834796 + ... + 92845842.

It is an arithmetic number, because the mean of its divisors is an integer number (12615932160).

Almost surely, 2^{1025607003993} is an apocalyptic number.

1025607003993 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

1025607003993 is a deficient number, since it is larger than the sum of its proper divisors (791087227047).

1025607003993 is a wasteful number, since it uses less digits than its factorization.

1025607003993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11300 (or 11284 counting only the distinct ones).

The product of its (nonzero) digits is 306180, while the sum is 45.

The spelling of 1025607003993 in words is "one trillion, twenty-five billion, six hundred seven million, three thousand, nine hundred ninety-three".