1292496901605 has 64 divisors (see below), whose sum is σ = 2828027435520. Its totient is φ = 545405280768.

The previous prime is 1292496901583. The next prime is 1292496901621. The reversal of 1292496901605 is 5061096942921.

1292496901605 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 496 + 90 + 1 + 60 + 5 = 666.

It is not a de Polignac number, because 1292496901605 - 2¹¹ = 1292496899557 is a prime.

It is a congruent 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 63 ways as a sum of consecutive naturals, for example, 52592392 + ... + 52616961.

It is an arithmetic number, because the mean of its divisors is an integer number (44187928680).

Almost surely, 2^{1292496901605} is an apocalyptic number.

1292496901605 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1292496901605 is an abundant number, since it is smaller than the sum of its proper divisors (1535530533915).

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

1292496901605 is a wasteful number, since it uses less digits than its factorization.

1292496901605 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105209387 (or 105209381 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 54.

The spelling of 1292496901605 in words is "one trillion, two hundred ninety-two billion, four hundred ninety-six million, nine hundred one thousand, six hundred five".