1253738638407 has 16 divisors (see below), whose sum is σ = 1770214770432. Its totient is φ = 786556955520.

The previous prime is 1253738638381. The next prime is 1253738638417. The reversal of 1253738638407 is 7048368373521.

It is not a de Polignac number, because 1253738638407 - 2¹⁴ = 1253738622023 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1253738638417) 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, 1206969 + ... + 1991042.

It is an arithmetic number, because the mean of its divisors is an integer number (110638423152).

Almost surely, 2^{1253738638407} is an apocalyptic number.

1253738638407 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1253738638407 is a deficient number, since it is larger than the sum of its proper divisors (516476132025).

1253738638407 is a wasteful number, since it uses less digits than its factorization.

1253738638407 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3205718.

The product of its (nonzero) digits is 20321280, while the sum is 57.

The spelling of 1253738638407 in words is "one trillion, two hundred fifty-three billion, seven hundred thirty-eight million, six hundred thirty-eight thousand, four hundred seven".