1005262906384 has 45 divisors (see below), whose sum is σ = 2140950857311. Its totient is φ = 456917632160.

The previous prime is 1005262906381. The next prime is 1005262906387. The reversal of 1005262906384 is 4836092625001.

The square root of 1005262906384 is 1002628.

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

It is an interprime number because it is at equal distance from previous prime (1005262906381) and next prime (1005262906387).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1005262906381) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 44104239 + ... + 44127025.

Almost surely, 2^{1005262906384} is an apocalyptic number.

1005262906384 is the 1002628-th square number.

It is an amenable number.

1005262906384 is an abundant number, since it is smaller than the sum of its proper divisors (1135687950927).

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

1005262906384 is an frugal number, since it uses more digits than its factorization.

1005262906384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45604 (or 22800 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 46.

The spelling of 1005262906384 in words is "one trillion, five billion, two hundred sixty-two million, nine hundred six thousand, three hundred eighty-four".