1507838492106 has 40 divisors (see below), whose sum is σ = 3395825846820. Its totient is φ = 500061485952.

The previous prime is 1507838492099. The next prime is 1507838492117. The reversal of 1507838492106 is 6012948387051.

1507838492106 is a `hidden beast` number, since 1 + 5 + 0 + 78 + 384 + 92 + 106 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 977695776225 + 530142715881 = 988785^2 + 728109^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

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 19 ways as a sum of consecutive naturals, for example, 23591551 + ... + 23655378.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1507838492106 = 3015676984212, but 3⋅1507838492106 = 4523515476318 is not.

Almost surely, 2^{1507838492106} is an apocalyptic number.

1507838492106 is an abundant number, since it is smaller than the sum of its proper divisors (1887987354714).

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

1507838492106 is a wasteful number, since it uses less digits than its factorization.

1507838492106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47247140 (or 47247131 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1507838492106 in words is "one trillion, five hundred seven billion, eight hundred thirty-eight million, four hundred ninety-two thousand, one hundred six".