1001261915136 has 528 divisors, whose sum is σ = 3431005194240. Its totient is φ = 275201556480.

The previous prime is 1001261915081. The next prime is 1001261915219. The reversal of 1001261915136 is 6315191621001.

1001261915136 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 2 + 619 + 1 + 5 + 1 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1001261915136.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 357975690 + ... + 357978486.

Almost surely, 2^{1001261915136} is an apocalyptic number.

1001261915136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1001261915136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1715502597120).

1001261915136 is an abundant number, since it is smaller than the sum of its proper divisors (2429743279104).

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

1001261915136 is a wasteful number, since it uses less digits than its factorization.

1001261915136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3040 (or 3019 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The spelling of 1001261915136 in words is "one trillion, one billion, two hundred sixty-one million, nine hundred fifteen thousand, one hundred thirty-six".