1008526096516 has 81 divisors (see below), whose sum is σ = 1864865198511. Its totient is φ = 477221500800.

The previous prime is 1008526096471. The next prime is 1008526096547. The reversal of 1008526096516 is 6156906258001.

The square root of 1008526096516 is 1004254.

It is a perfect power (a square), and thus also a powerful number.

1008526096516 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 11931192900 + 996594903616 = 109230^2 + 998296^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1008526096516.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3046906471 + ... + 3046906801.

Almost surely, 2^{1008526096516} is an apocalyptic number.

1008526096516 is the 1004254-th square number.

It is an amenable number.

1008526096516 is a deficient number, since it is larger than the sum of its proper divisors (856339101995).

1008526096516 is an frugal number, since it uses more digits than its factorization.

1008526096516 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 822 (or 411 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 49.

Multiplying 1008526096516 by its sum of digits (49), we get a square (49417778729284 = 7029778²).

The spelling of 1008526096516 in words is "one trillion, eight billion, five hundred twenty-six million, ninety-six thousand, five hundred sixteen".